What is the Greatest Common Factor of 63679 and 63686?

Greatest common factor (GCF) of 63679 and 63686 is 7.

GCF(63679,63686) = 7

We will now calculate the prime factors of 63679 and 63686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63679 and 63686.

How to find the GCF of 63679 and 63686?

We will first find the prime factorization of 63679 and 63686. After we will calculate the factors of 63679 and 63686 and find the biggest common factor number .

Step-1: Prime Factorization of 63679

Prime factors of 63679 are 7, 11, 827. Prime factorization of 63679 in exponential form is:

63679 = 7¹ × 11¹ × 827¹

Step-2: Prime Factorization of 63686

Prime factors of 63686 are 2, 7, 4549. Prime factorization of 63686 in exponential form is:

63686 = 2¹ × 7¹ × 4549¹

Step-3: Factors of 63679

List of positive integer factors of 63679 that divides 63679 without a remainder.

1, 7, 11, 77, 827, 5789, 9097

Step-4: Factors of 63686

List of positive integer factors of 63686 that divides 63679 without a remainder.

1, 2, 7, 14, 4549, 9098, 31843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63679 and 63686. The biggest common factor number is the GCF number.
So the greatest common factor 63679 and 63686 is 7.

Also check out the Least Common Multiple of 63679 and 63686