What is the Greatest Common Factor of 88464 and 88476?

Greatest common factor (GCF) of 88464 and 88476 is 12.

GCF(88464,88476) = 12

We will now calculate the prime factors of 88464 and 88476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88464 and 88476.

How to find the GCF of 88464 and 88476?

We will first find the prime factorization of 88464 and 88476. After we will calculate the factors of 88464 and 88476 and find the biggest common factor number .

Step-1: Prime Factorization of 88464

Prime factors of 88464 are 2, 3, 19, 97. Prime factorization of 88464 in exponential form is:

88464 = 2⁴ × 3¹ × 19¹ × 97¹

Step-2: Prime Factorization of 88476

Prime factors of 88476 are 2, 3, 73, 101. Prime factorization of 88476 in exponential form is:

88476 = 2² × 3¹ × 73¹ × 101¹

Step-3: Factors of 88464

List of positive integer factors of 88464 that divides 88464 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 97, 114, 152, 194, 228, 291, 304, 388, 456, 582, 776, 912, 1164, 1552, 1843, 2328, 3686, 4656, 5529, 7372, 11058, 14744, 22116, 29488, 44232

Step-4: Factors of 88476

List of positive integer factors of 88476 that divides 88464 without a remainder.

1, 2, 3, 4, 6, 12, 73, 101, 146, 202, 219, 292, 303, 404, 438, 606, 876, 1212, 7373, 14746, 22119, 29492, 44238

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88464 and 88476. The biggest common factor number is the GCF number.
So the greatest common factor 88464 and 88476 is 12.

Also check out the Least Common Multiple of 88464 and 88476