What is the Greatest Common Factor of 85650 and 85670?

Greatest common factor (GCF) of 85650 and 85670 is 10.

GCF(85650,85670) = 10

We will now calculate the prime factors of 85650 and 85670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85650 and 85670.

How to find the GCF of 85650 and 85670?

We will first find the prime factorization of 85650 and 85670. After we will calculate the factors of 85650 and 85670 and find the biggest common factor number .

Step-1: Prime Factorization of 85650

Prime factors of 85650 are 2, 3, 5, 571. Prime factorization of 85650 in exponential form is:

85650 = 2¹ × 3¹ × 5² × 571¹

Step-2: Prime Factorization of 85670

Prime factors of 85670 are 2, 5, 13, 659. Prime factorization of 85670 in exponential form is:

85670 = 2¹ × 5¹ × 13¹ × 659¹

Step-3: Factors of 85650

List of positive integer factors of 85650 that divides 85650 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 571, 1142, 1713, 2855, 3426, 5710, 8565, 14275, 17130, 28550, 42825

Step-4: Factors of 85670

List of positive integer factors of 85670 that divides 85650 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 659, 1318, 3295, 6590, 8567, 17134, 42835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85650 and 85670. The biggest common factor number is the GCF number.
So the greatest common factor 85650 and 85670 is 10.

Also check out the Least Common Multiple of 85650 and 85670