What is the Greatest Common Factor of 63665 and 63679?

Greatest common factor (GCF) of 63665 and 63679 is 7.

GCF(63665,63679) = 7

We will now calculate the prime factors of 63665 and 63679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63665 and 63679.

How to find the GCF of 63665 and 63679?

We will first find the prime factorization of 63665 and 63679. After we will calculate the factors of 63665 and 63679 and find the biggest common factor number .

Step-1: Prime Factorization of 63665

Prime factors of 63665 are 5, 7, 17, 107. Prime factorization of 63665 in exponential form is:

63665 = 5¹ × 7¹ × 17¹ × 107¹

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 63665

List of positive integer factors of 63665 that divides 63665 without a remainder.

1, 5, 7, 17, 35, 85, 107, 119, 535, 595, 749, 1819, 3745, 9095, 12733

Step-4: Factors of 63679

List of positive integer factors of 63679 that divides 63665 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63665 and 63679. The biggest common factor number is the GCF number.
So the greatest common factor 63665 and 63679 is 7.

Also check out the Least Common Multiple of 63665 and 63679