What is the Greatest Common Factor of 89736 and 89754?

Greatest common factor (GCF) of 89736 and 89754 is 6.

GCF(89736,89754) = 6

We will now calculate the prime factors of 89736 and 89754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89736 and 89754.

How to find the GCF of 89736 and 89754?

We will first find the prime factorization of 89736 and 89754. After we will calculate the factors of 89736 and 89754 and find the biggest common factor number .

Step-1: Prime Factorization of 89736

Prime factors of 89736 are 2, 3, 3739. Prime factorization of 89736 in exponential form is:

89736 = 2³ × 3¹ × 3739¹

Step-2: Prime Factorization of 89754

Prime factors of 89754 are 2, 3, 7, 2137. Prime factorization of 89754 in exponential form is:

89754 = 2¹ × 3¹ × 7¹ × 2137¹

Step-3: Factors of 89736

List of positive integer factors of 89736 that divides 89736 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3739, 7478, 11217, 14956, 22434, 29912, 44868

Step-4: Factors of 89754

List of positive integer factors of 89754 that divides 89736 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2137, 4274, 6411, 12822, 14959, 29918, 44877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89736 and 89754. The biggest common factor number is the GCF number.
So the greatest common factor 89736 and 89754 is 6.

Also check out the Least Common Multiple of 89736 and 89754