What is the Greatest Common Factor of 85710 and 85715?

Greatest common factor (GCF) of 85710 and 85715 is 5.

GCF(85710,85715) = 5

We will now calculate the prime factors of 85710 and 85715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85710 and 85715.

How to find the GCF of 85710 and 85715?

We will first find the prime factorization of 85710 and 85715. After we will calculate the factors of 85710 and 85715 and find the biggest common factor number .

Step-1: Prime Factorization of 85710

Prime factors of 85710 are 2, 3, 5, 2857. Prime factorization of 85710 in exponential form is:

85710 = 2¹ × 3¹ × 5¹ × 2857¹

Step-2: Prime Factorization of 85715

Prime factors of 85715 are 5, 7, 31, 79. Prime factorization of 85715 in exponential form is:

85715 = 5¹ × 7¹ × 31¹ × 79¹

Step-3: Factors of 85710

List of positive integer factors of 85710 that divides 85710 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2857, 5714, 8571, 14285, 17142, 28570, 42855

Step-4: Factors of 85715

List of positive integer factors of 85715 that divides 85710 without a remainder.

1, 5, 7, 31, 35, 79, 155, 217, 395, 553, 1085, 2449, 2765, 12245, 17143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85710 and 85715. The biggest common factor number is the GCF number.
So the greatest common factor 85710 and 85715 is 5.

Also check out the Least Common Multiple of 85710 and 85715