What is the Greatest Common Factor of 63958 and 63971?

Greatest common factor (GCF) of 63958 and 63971 is 1.

GCF(63958,63971) = 1

We will now calculate the prime factors of 63958 and 63971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63958 and 63971.

How to find the GCF of 63958 and 63971?

We will first find the prime factorization of 63958 and 63971. After we will calculate the factors of 63958 and 63971 and find the biggest common factor number .

Step-1: Prime Factorization of 63958

Prime factors of 63958 are 2, 113, 283. Prime factorization of 63958 in exponential form is:

63958 = 2¹ × 113¹ × 283¹

Step-2: 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-3: Factors of 63958

List of positive integer factors of 63958 that divides 63958 without a remainder.

1, 2, 113, 226, 283, 566, 31979

Step-4: Factors of 63971

List of positive integer factors of 63971 that divides 63958 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63958 and 63971. The biggest common factor number is the GCF number.
So the greatest common factor 63958 and 63971 is 1.

Also check out the Least Common Multiple of 63958 and 63971