What is the Greatest Common Factor of 88436 and 88456?

Greatest common factor (GCF) of 88436 and 88456 is 4.

GCF(88436,88456) = 4

We will now calculate the prime factors of 88436 and 88456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88436 and 88456.

How to find the GCF of 88436 and 88456?

We will first find the prime factorization of 88436 and 88456. After we will calculate the factors of 88436 and 88456 and find the biggest common factor number .

Step-1: Prime Factorization of 88436

Prime factors of 88436 are 2, 22109. Prime factorization of 88436 in exponential form is:

88436 = 2² × 22109¹

Step-2: Prime Factorization of 88456

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

88456 = 2³ × 11057¹

Step-3: Factors of 88436

List of positive integer factors of 88436 that divides 88436 without a remainder.

1, 2, 4, 22109, 44218

Step-4: Factors of 88456

List of positive integer factors of 88456 that divides 88436 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88436 and 88456. The biggest common factor number is the GCF number.
So the greatest common factor 88436 and 88456 is 4.

Also check out the Least Common Multiple of 88436 and 88456