What is the Greatest Common Factor of 88452 and 88467?

Greatest common factor (GCF) of 88452 and 88467 is 3.

GCF(88452,88467) = 3

We will now calculate the prime factors of 88452 and 88467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88452 and 88467.

How to find the GCF of 88452 and 88467?

We will first find the prime factorization of 88452 and 88467. After we will calculate the factors of 88452 and 88467 and find the biggest common factor number .

Step-1: Prime Factorization of 88452

Prime factors of 88452 are 2, 3, 7, 13. Prime factorization of 88452 in exponential form is:

88452 = 2² × 3⁵ × 7¹ × 13¹

Step-2: Prime Factorization of 88467

Prime factors of 88467 are 3, 37, 797. Prime factorization of 88467 in exponential form is:

88467 = 3¹ × 37¹ × 797¹

Step-3: Factors of 88452

List of positive integer factors of 88452 that divides 88452 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 27, 28, 36, 39, 42, 52, 54, 63, 78, 81, 84, 91, 108, 117, 126, 156, 162, 182, 189, 234, 243, 252, 273, 324, 351, 364, 378, 468, 486, 546, 567, 702, 756, 819, 972, 1053, 1092, 1134, 1404, 1638, 1701, 2106, 2268, 2457, 3159, 3276, 3402, 4212, 4914, 6318, 6804, 7371, 9828, 12636, 14742, 22113, 29484, 44226

Step-4: Factors of 88467

List of positive integer factors of 88467 that divides 88452 without a remainder.

1, 3, 37, 111, 797, 2391, 29489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88452 and 88467. The biggest common factor number is the GCF number.
So the greatest common factor 88452 and 88467 is 3.

Also check out the Least Common Multiple of 88452 and 88467