What is the Greatest Common Factor of 88448 and 88452?

Greatest common factor (GCF) of 88448 and 88452 is 4.

GCF(88448,88452) = 4

We will now calculate the prime factors of 88448 and 88452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88448 and 88452.

How to find the GCF of 88448 and 88452?

We will first find the prime factorization of 88448 and 88452. After we will calculate the factors of 88448 and 88452 and find the biggest common factor number .

Step-1: Prime Factorization of 88448

Prime factors of 88448 are 2, 691. Prime factorization of 88448 in exponential form is:

88448 = 2⁷ × 691¹

Step-2: 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-3: Factors of 88448

List of positive integer factors of 88448 that divides 88448 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 691, 1382, 2764, 5528, 11056, 22112, 44224

Step-4: Factors of 88452

List of positive integer factors of 88452 that divides 88448 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88448 and 88452. The biggest common factor number is the GCF number.
So the greatest common factor 88448 and 88452 is 4.

Also check out the Least Common Multiple of 88448 and 88452