What is the Greatest Common Factor of 88452 and 88466?

Greatest common factor (GCF) of 88452 and 88466 is 14.

GCF(88452,88466) = 14

We will now calculate the prime factors of 88452 and 88466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88452 and 88466.

How to find the GCF of 88452 and 88466?

We will first find the prime factorization of 88452 and 88466. After we will calculate the factors of 88452 and 88466 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 88466

Prime factors of 88466 are 2, 7, 71, 89. Prime factorization of 88466 in exponential form is:

88466 = 2¹ × 7¹ × 71¹ × 89¹

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 88466

List of positive integer factors of 88466 that divides 88452 without a remainder.

1, 2, 7, 14, 71, 89, 142, 178, 497, 623, 994, 1246, 6319, 12638, 44233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88452 and 88466. The biggest common factor number is the GCF number.
So the greatest common factor 88452 and 88466 is 14.

Also check out the Least Common Multiple of 88452 and 88466