What is the Greatest Common Factor of 65670 and 65685?

Greatest common factor (GCF) of 65670 and 65685 is 15.

GCF(65670,65685) = 15

We will now calculate the prime factors of 65670 and 65685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65670 and 65685.

How to find the GCF of 65670 and 65685?

We will first find the prime factorization of 65670 and 65685. After we will calculate the factors of 65670 and 65685 and find the biggest common factor number .

Step-1: Prime Factorization of 65670

Prime factors of 65670 are 2, 3, 5, 11, 199. Prime factorization of 65670 in exponential form is:

65670 = 2¹ × 3¹ × 5¹ × 11¹ × 199¹

Step-2: Prime Factorization of 65685

Prime factors of 65685 are 3, 5, 29, 151. Prime factorization of 65685 in exponential form is:

65685 = 3¹ × 5¹ × 29¹ × 151¹

Step-3: Factors of 65670

List of positive integer factors of 65670 that divides 65670 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 199, 330, 398, 597, 995, 1194, 1990, 2189, 2985, 4378, 5970, 6567, 10945, 13134, 21890, 32835

Step-4: Factors of 65685

List of positive integer factors of 65685 that divides 65670 without a remainder.

1, 3, 5, 15, 29, 87, 145, 151, 435, 453, 755, 2265, 4379, 13137, 21895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65670 and 65685. The biggest common factor number is the GCF number.
So the greatest common factor 65670 and 65685 is 15.

Also check out the Least Common Multiple of 65670 and 65685