What is the Greatest Common Factor of 88101 and 88113?

Greatest common factor (GCF) of 88101 and 88113 is 3.

GCF(88101,88113) = 3

We will now calculate the prime factors of 88101 and 88113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88101 and 88113.

How to find the GCF of 88101 and 88113?

We will first find the prime factorization of 88101 and 88113. After we will calculate the factors of 88101 and 88113 and find the biggest common factor number .

Step-1: Prime Factorization of 88101

Prime factors of 88101 are 3, 13, 251. Prime factorization of 88101 in exponential form is:

88101 = 3³ × 13¹ × 251¹

Step-2: Prime Factorization of 88113

Prime factors of 88113 are 3, 23, 1277. Prime factorization of 88113 in exponential form is:

88113 = 3¹ × 23¹ × 1277¹

Step-3: Factors of 88101

List of positive integer factors of 88101 that divides 88101 without a remainder.

1, 3, 9, 13, 27, 39, 117, 251, 351, 753, 2259, 3263, 6777, 9789, 29367

Step-4: Factors of 88113

List of positive integer factors of 88113 that divides 88101 without a remainder.

1, 3, 23, 69, 1277, 3831, 29371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88101 and 88113. The biggest common factor number is the GCF number.
So the greatest common factor 88101 and 88113 is 3.

Also check out the Least Common Multiple of 88101 and 88113