What is the Greatest Common Factor of 88690 and 88705?

Greatest common factor (GCF) of 88690 and 88705 is 5.

GCF(88690,88705) = 5

We will now calculate the prime factors of 88690 and 88705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88690 and 88705.

How to find the GCF of 88690 and 88705?

We will first find the prime factorization of 88690 and 88705. After we will calculate the factors of 88690 and 88705 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88705

Prime factors of 88705 are 5, 113, 157. Prime factorization of 88705 in exponential form is:

88705 = 5¹ × 113¹ × 157¹

Step-3: Factors of 88690

List of positive integer factors of 88690 that divides 88690 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

Step-4: Factors of 88705

List of positive integer factors of 88705 that divides 88690 without a remainder.

1, 5, 113, 157, 565, 785, 17741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88690 and 88705. The biggest common factor number is the GCF number.
So the greatest common factor 88690 and 88705 is 5.

Also check out the Least Common Multiple of 88690 and 88705