What is the Greatest Common Factor of 63661 and 63679?

Greatest common factor (GCF) of 63661 and 63679 is 1.

GCF(63661,63679) = 1

We will now calculate the prime factors of 63661 and 63679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63661 and 63679.

How to find the GCF of 63661 and 63679?

We will first find the prime factorization of 63661 and 63679. After we will calculate the factors of 63661 and 63679 and find the biggest common factor number .

Step-1: Prime Factorization of 63661

Prime factors of 63661 are 13, 59, 83. Prime factorization of 63661 in exponential form is:

63661 = 13¹ × 59¹ × 83¹

Step-2: 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-3: Factors of 63661

List of positive integer factors of 63661 that divides 63661 without a remainder.

1, 13, 59, 83, 767, 1079, 4897

Step-4: Factors of 63679

List of positive integer factors of 63679 that divides 63661 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63661 and 63679. The biggest common factor number is the GCF number.
So the greatest common factor 63661 and 63679 is 1.

Also check out the Least Common Multiple of 63661 and 63679