What is the Greatest Common Factor of 88456 and 88462?

Greatest common factor (GCF) of 88456 and 88462 is 2.

GCF(88456,88462) = 2

We will now calculate the prime factors of 88456 and 88462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88456 and 88462.

How to find the GCF of 88456 and 88462?

We will first find the prime factorization of 88456 and 88462. After we will calculate the factors of 88456 and 88462 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 88462

Prime factors of 88462 are 2, 11, 4021. Prime factorization of 88462 in exponential form is:

88462 = 2¹ × 11¹ × 4021¹

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 88462

List of positive integer factors of 88462 that divides 88456 without a remainder.

1, 2, 11, 22, 4021, 8042, 44231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88456 and 88462. The biggest common factor number is the GCF number.
So the greatest common factor 88456 and 88462 is 2.

Also check out the Least Common Multiple of 88456 and 88462