What is the Greatest Common Factor of 42732 and 42744?

Greatest common factor (GCF) of 42732 and 42744 is 12.

GCF(42732,42744) = 12

We will now calculate the prime factors of 42732 and 42744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42732 and 42744.

How to find the GCF of 42732 and 42744?

We will first find the prime factorization of 42732 and 42744. After we will calculate the factors of 42732 and 42744 and find the biggest common factor number .

Step-1: Prime Factorization of 42732

Prime factors of 42732 are 2, 3, 1187. Prime factorization of 42732 in exponential form is:

42732 = 2² × 3² × 1187¹

Step-2: Prime Factorization of 42744

Prime factors of 42744 are 2, 3, 13, 137. Prime factorization of 42744 in exponential form is:

42744 = 2³ × 3¹ × 13¹ × 137¹

Step-3: Factors of 42732

List of positive integer factors of 42732 that divides 42732 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1187, 2374, 3561, 4748, 7122, 10683, 14244, 21366

Step-4: Factors of 42744

List of positive integer factors of 42744 that divides 42732 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 137, 156, 274, 312, 411, 548, 822, 1096, 1644, 1781, 3288, 3562, 5343, 7124, 10686, 14248, 21372

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42732 and 42744. The biggest common factor number is the GCF number.
So the greatest common factor 42732 and 42744 is 12.

Also check out the Least Common Multiple of 42732 and 42744