What is the Greatest Common Factor of 52971 and 52983?

Greatest common factor (GCF) of 52971 and 52983 is 3.

GCF(52971,52983) = 3

We will now calculate the prime factors of 52971 and 52983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52971 and 52983.

How to find the GCF of 52971 and 52983?

We will first find the prime factorization of 52971 and 52983. After we will calculate the factors of 52971 and 52983 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 52983

Prime factors of 52983 are 3, 7, 29. Prime factorization of 52983 in exponential form is:

52983 = 3² × 7¹ × 29²

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 52983

List of positive integer factors of 52983 that divides 52971 without a remainder.

1, 3, 7, 9, 21, 29, 63, 87, 203, 261, 609, 841, 1827, 2523, 5887, 7569, 17661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52971 and 52983. The biggest common factor number is the GCF number.
So the greatest common factor 52971 and 52983 is 3.

Also check out the Least Common Multiple of 52971 and 52983