What is the Greatest Common Factor of 85710 and 85730?

Greatest common factor (GCF) of 85710 and 85730 is 10.

GCF(85710,85730) = 10

We will now calculate the prime factors of 85710 and 85730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85710 and 85730.

How to find the GCF of 85710 and 85730?

We will first find the prime factorization of 85710 and 85730. After we will calculate the factors of 85710 and 85730 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 85730

Prime factors of 85730 are 2, 5, 8573. Prime factorization of 85730 in exponential form is:

85730 = 2¹ × 5¹ × 8573¹

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 85730

List of positive integer factors of 85730 that divides 85710 without a remainder.

1, 2, 5, 10, 8573, 17146, 42865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85710 and 85730. The biggest common factor number is the GCF number.
So the greatest common factor 85710 and 85730 is 10.

Also check out the Least Common Multiple of 85710 and 85730