What is the Greatest Common Factor of 63971 and 63991?

Greatest common factor (GCF) of 63971 and 63991 is 1.

GCF(63971,63991) = 1

We will now calculate the prime factors of 63971 and 63991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63971 and 63991.

How to find the GCF of 63971 and 63991?

We will first find the prime factorization of 63971 and 63991. After we will calculate the factors of 63971 and 63991 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 63991

Prime factors of 63991 are 89, 719. Prime factorization of 63991 in exponential form is:

63991 = 89¹ × 719¹

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 63991

List of positive integer factors of 63991 that divides 63971 without a remainder.

1, 89, 719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63971 and 63991. The biggest common factor number is the GCF number.
So the greatest common factor 63971 and 63991 is 1.

Also check out the Least Common Multiple of 63971 and 63991