What is the Greatest Common Factor of 62675 and 62685?

Greatest common factor (GCF) of 62675 and 62685 is 5.

GCF(62675,62685) = 5

We will now calculate the prime factors of 62675 and 62685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62675 and 62685.

How to find the GCF of 62675 and 62685?

We will first find the prime factorization of 62675 and 62685. After we will calculate the factors of 62675 and 62685 and find the biggest common factor number .

Step-1: Prime Factorization of 62675

Prime factors of 62675 are 5, 23, 109. Prime factorization of 62675 in exponential form is:

62675 = 5² × 23¹ × 109¹

Step-2: Prime Factorization of 62685

Prime factors of 62685 are 3, 5, 7, 199. Prime factorization of 62685 in exponential form is:

62685 = 3² × 5¹ × 7¹ × 199¹

Step-3: Factors of 62675

List of positive integer factors of 62675 that divides 62675 without a remainder.

1, 5, 23, 25, 109, 115, 545, 575, 2507, 2725, 12535

Step-4: Factors of 62685

List of positive integer factors of 62685 that divides 62675 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 199, 315, 597, 995, 1393, 1791, 2985, 4179, 6965, 8955, 12537, 20895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62675 and 62685. The biggest common factor number is the GCF number.
So the greatest common factor 62675 and 62685 is 5.

Also check out the Least Common Multiple of 62675 and 62685