What is the Greatest Common Factor of 52971 and 52991?

Greatest common factor (GCF) of 52971 and 52991 is 1.

GCF(52971,52991) = 1

We will now calculate the prime factors of 52971 and 52991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52971 and 52991.

How to find the GCF of 52971 and 52991?

We will first find the prime factorization of 52971 and 52991. After we will calculate the factors of 52971 and 52991 and find the biggest common factor number .

Step-1: Prime Factorization of 52971

Prime factors of 52971 are 3, 17657. Prime factorization of 52971 in exponential form is:

52971 = 3¹ × 17657¹

Step-2: Prime Factorization of 52991

Prime factors of 52991 are 19, 2789. Prime factorization of 52991 in exponential form is:

52991 = 19¹ × 2789¹

Step-3: Factors of 52971

List of positive integer factors of 52971 that divides 52971 without a remainder.

1, 3, 17657

Step-4: Factors of 52991

List of positive integer factors of 52991 that divides 52971 without a remainder.

1, 19, 2789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52971 and 52991. The biggest common factor number is the GCF number.
So the greatest common factor 52971 and 52991 is 1.

Also check out the Least Common Multiple of 52971 and 52991