What is the Greatest Common Factor of 88675 and 88690?

Greatest common factor (GCF) of 88675 and 88690 is 5.

GCF(88675,88690) = 5

We will now calculate the prime factors of 88675 and 88690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88675 and 88690.

How to find the GCF of 88675 and 88690?

We will first find the prime factorization of 88675 and 88690. After we will calculate the factors of 88675 and 88690 and find the biggest common factor number .

Step-1: Prime Factorization of 88675

Prime factors of 88675 are 5, 3547. Prime factorization of 88675 in exponential form is:

88675 = 5² × 3547¹

Step-2: Prime Factorization of 88690

Prime factors of 88690 are 2, 5, 7, 181. Prime factorization of 88690 in exponential form is:

88690 = 2¹ × 5¹ × 7² × 181¹

Step-3: Factors of 88675

List of positive integer factors of 88675 that divides 88675 without a remainder.

1, 5, 25, 3547, 17735

Step-4: Factors of 88690

List of positive integer factors of 88690 that divides 88675 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 181, 245, 362, 490, 905, 1267, 1810, 2534, 6335, 8869, 12670, 17738, 44345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88675 and 88690. The biggest common factor number is the GCF number.
So the greatest common factor 88675 and 88690 is 5.

Also check out the Least Common Multiple of 88675 and 88690