What is the Greatest Common Factor of 62685 and 62697?

Greatest common factor (GCF) of 62685 and 62697 is 3.

GCF(62685,62697) = 3

We will now calculate the prime factors of 62685 and 62697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62685 and 62697.

How to find the GCF of 62685 and 62697?

We will first find the prime factorization of 62685 and 62697. After we will calculate the factors of 62685 and 62697 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62697

Prime factors of 62697 are 3, 20899. Prime factorization of 62697 in exponential form is:

62697 = 3¹ × 20899¹

Step-3: Factors of 62685

List of positive integer factors of 62685 that divides 62685 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

Step-4: Factors of 62697

List of positive integer factors of 62697 that divides 62685 without a remainder.

1, 3, 20899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62685 and 62697. The biggest common factor number is the GCF number.
So the greatest common factor 62685 and 62697 is 3.

Also check out the Least Common Multiple of 62685 and 62697