What is the Greatest Common Factor of 88623 and 88632?

Greatest common factor (GCF) of 88623 and 88632 is 9.

GCF(88623,88632) = 9

We will now calculate the prime factors of 88623 and 88632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88623 and 88632.

How to find the GCF of 88623 and 88632?

We will first find the prime factorization of 88623 and 88632. After we will calculate the factors of 88623 and 88632 and find the biggest common factor number .

Step-1: Prime Factorization of 88623

Prime factors of 88623 are 3, 43, 229. Prime factorization of 88623 in exponential form is:

88623 = 3² × 43¹ × 229¹

Step-2: Prime Factorization of 88632

Prime factors of 88632 are 2, 3, 1231. Prime factorization of 88632 in exponential form is:

88632 = 2³ × 3² × 1231¹

Step-3: Factors of 88623

List of positive integer factors of 88623 that divides 88623 without a remainder.

1, 3, 9, 43, 129, 229, 387, 687, 2061, 9847, 29541

Step-4: Factors of 88632

List of positive integer factors of 88632 that divides 88623 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1231, 2462, 3693, 4924, 7386, 9848, 11079, 14772, 22158, 29544, 44316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88623 and 88632. The biggest common factor number is the GCF number.
So the greatest common factor 88623 and 88632 is 9.

Also check out the Least Common Multiple of 88623 and 88632