Answer:
Methods to Find GCF of 12 and 36
Let's look at the different methods for finding the GCF of 12 and 36.
Long Division Method
Prime Factorization Method
Listing Common Factors
GCF of 12 and 36 by Long Division
GCF of 12 and 36 by Long Division
GCF of 12 and 36 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.
-Step 1: Divide 36 (larger number) by 12(smaller number).
-Step 2: Since the remainder ≠ 0, we will divide the divisor of step 1 (12) by the remainder (4).
-Step 3: Repeat this process until the remainder = 0.
The corresponding divisor (12) is the GCF of 12 and 36.
GCF of 12 and 36 by Prime Factorization
GCF of 12 and 36 by Prime Factorization
Prime factorization of 12 and 36 is (2 × 2 × 3) and (2 × 2 × 2 × 2) respectively. As visible, 12 and 36 have common prime factors. Hence, the GCF of 12 and 36 is 2 × 2 = 4.
GCF of 12 and 36 by Listing Common Factors
GCF of 12 and 36 by Listing Common Factors
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 36: 1, 2, 4, 8, 16
There are 3 common factors of 12 and 36, that are 1, 2, and 4. Therefore, the greatest common factor of 12 and 36 is 12.
