What is the Greatest Common Factor of 88734 and 88752?

Greatest common factor (GCF) of 88734 and 88752 is 6.

GCF(88734,88752) = 6

We will now calculate the prime factors of 88734 and 88752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88734 and 88752.

How to find the GCF of 88734 and 88752?

We will first find the prime factorization of 88734 and 88752. After we will calculate the factors of 88734 and 88752 and find the biggest common factor number .

Step-1: Prime Factorization of 88734

Prime factors of 88734 are 2, 3, 23, 643. Prime factorization of 88734 in exponential form is:

88734 = 2¹ × 3¹ × 23¹ × 643¹

Step-2: Prime Factorization of 88752

Prime factors of 88752 are 2, 3, 43. Prime factorization of 88752 in exponential form is:

88752 = 2⁴ × 3¹ × 43²

Step-3: Factors of 88734

List of positive integer factors of 88734 that divides 88734 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 643, 1286, 1929, 3858, 14789, 29578, 44367

Step-4: Factors of 88752

List of positive integer factors of 88752 that divides 88734 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 43, 48, 86, 129, 172, 258, 344, 516, 688, 1032, 1849, 2064, 3698, 5547, 7396, 11094, 14792, 22188, 29584, 44376

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88734 and 88752. The biggest common factor number is the GCF number.
So the greatest common factor 88734 and 88752 is 6.

Also check out the Least Common Multiple of 88734 and 88752