What is the Greatest Common Factor of 63685 and 63695?

Greatest common factor (GCF) of 63685 and 63695 is 5.

GCF(63685,63695) = 5

We will now calculate the prime factors of 63685 and 63695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63685 and 63695.

How to find the GCF of 63685 and 63695?

We will first find the prime factorization of 63685 and 63695. After we will calculate the factors of 63685 and 63695 and find the biggest common factor number .

Step-1: Prime Factorization of 63685

Prime factors of 63685 are 5, 47, 271. Prime factorization of 63685 in exponential form is:

63685 = 5¹ × 47¹ × 271¹

Step-2: Prime Factorization of 63695

Prime factors of 63695 are 5, 12739. Prime factorization of 63695 in exponential form is:

63695 = 5¹ × 12739¹

Step-3: Factors of 63685

List of positive integer factors of 63685 that divides 63685 without a remainder.

1, 5, 47, 235, 271, 1355, 12737

Step-4: Factors of 63695

List of positive integer factors of 63695 that divides 63685 without a remainder.

1, 5, 12739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63685 and 63695. The biggest common factor number is the GCF number.
So the greatest common factor 63685 and 63695 is 5.

Also check out the Least Common Multiple of 63685 and 63695