What is the Greatest Common Factor of 63971 and 63977?

Greatest common factor (GCF) of 63971 and 63977 is 1.

GCF(63971,63977) = 1

We will now calculate the prime factors of 63971 and 63977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63971 and 63977.

How to find the GCF of 63971 and 63977?

We will first find the prime factorization of 63971 and 63977. After we will calculate the factors of 63971 and 63977 and find the biggest common factor number .

Step-1: Prime Factorization of 63971

Prime factors of 63971 are 17, 53, 71. Prime factorization of 63971 in exponential form is:

63971 = 17¹ × 53¹ × 71¹

Step-2: Prime Factorization of 63977

Prime factors of 63977 are 63977. Prime factorization of 63977 in exponential form is:

63977 = 63977¹

Step-3: Factors of 63971

List of positive integer factors of 63971 that divides 63971 without a remainder.

1, 17, 53, 71, 901, 1207, 3763

Step-4: Factors of 63977

List of positive integer factors of 63977 that divides 63971 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63971 and 63977. The biggest common factor number is the GCF number.
So the greatest common factor 63971 and 63977 is 1.

Also check out the Least Common Multiple of 63971 and 63977