What is the Greatest Common Factor of 88456 and 88460?

Greatest common factor (GCF) of 88456 and 88460 is 4.

GCF(88456,88460) = 4

We will now calculate the prime factors of 88456 and 88460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88456 and 88460.

How to find the GCF of 88456 and 88460?

We will first find the prime factorization of 88456 and 88460. After we will calculate the factors of 88456 and 88460 and find the biggest common factor number .

Step-1: Prime Factorization of 88456

Prime factors of 88456 are 2, 11057. Prime factorization of 88456 in exponential form is:

88456 = 2³ × 11057¹

Step-2: Prime Factorization of 88460

Prime factors of 88460 are 2, 5, 4423. Prime factorization of 88460 in exponential form is:

88460 = 2² × 5¹ × 4423¹

Step-3: Factors of 88456

List of positive integer factors of 88456 that divides 88456 without a remainder.

1, 2, 4, 8, 11057, 22114, 44228

Step-4: Factors of 88460

List of positive integer factors of 88460 that divides 88456 without a remainder.

1, 2, 4, 5, 10, 20, 4423, 8846, 17692, 22115, 44230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88456 and 88460. The biggest common factor number is the GCF number.
So the greatest common factor 88456 and 88460 is 4.

Also check out the Least Common Multiple of 88456 and 88460