What is the Greatest Common Factor of 88472 and 88484?

Greatest common factor (GCF) of 88472 and 88484 is 4.

GCF(88472,88484) = 4

We will now calculate the prime factors of 88472 and 88484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88472 and 88484.

How to find the GCF of 88472 and 88484?

We will first find the prime factorization of 88472 and 88484. After we will calculate the factors of 88472 and 88484 and find the biggest common factor number .

Step-1: Prime Factorization of 88472

Prime factors of 88472 are 2, 11059. Prime factorization of 88472 in exponential form is:

88472 = 2³ × 11059¹

Step-2: Prime Factorization of 88484

Prime factors of 88484 are 2, 11, 2011. Prime factorization of 88484 in exponential form is:

88484 = 2² × 11¹ × 2011¹

Step-3: Factors of 88472

List of positive integer factors of 88472 that divides 88472 without a remainder.

1, 2, 4, 8, 11059, 22118, 44236

Step-4: Factors of 88484

List of positive integer factors of 88484 that divides 88472 without a remainder.

1, 2, 4, 11, 22, 44, 2011, 4022, 8044, 22121, 44242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88472 and 88484. The biggest common factor number is the GCF number.
So the greatest common factor 88472 and 88484 is 4.

Also check out the Least Common Multiple of 88472 and 88484