What is the Greatest Common Factor of 88752 and 88769?

Greatest common factor (GCF) of 88752 and 88769 is 1.

GCF(88752,88769) = 1

We will now calculate the prime factors of 88752 and 88769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88752 and 88769.

How to find the GCF of 88752 and 88769?

We will first find the prime factorization of 88752 and 88769. After we will calculate the factors of 88752 and 88769 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88769

Prime factors of 88769 are 29, 3061. Prime factorization of 88769 in exponential form is:

88769 = 29¹ × 3061¹

Step-3: Factors of 88752

List of positive integer factors of 88752 that divides 88752 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

Step-4: Factors of 88769

List of positive integer factors of 88769 that divides 88752 without a remainder.

1, 29, 3061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88752 and 88769. The biggest common factor number is the GCF number.
So the greatest common factor 88752 and 88769 is 1.

Also check out the Least Common Multiple of 88752 and 88769