What is the Greatest Common Factor of 52954 and 52972?

Greatest common factor (GCF) of 52954 and 52972 is 2.

GCF(52954,52972) = 2

We will now calculate the prime factors of 52954 and 52972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52954 and 52972.

How to find the GCF of 52954 and 52972?

We will first find the prime factorization of 52954 and 52972. After we will calculate the factors of 52954 and 52972 and find the biggest common factor number .

Step-1: Prime Factorization of 52954

Prime factors of 52954 are 2, 11, 29, 83. Prime factorization of 52954 in exponential form is:

52954 = 2¹ × 11¹ × 29¹ × 83¹

Step-2: Prime Factorization of 52972

Prime factors of 52972 are 2, 17, 19, 41. Prime factorization of 52972 in exponential form is:

52972 = 2² × 17¹ × 19¹ × 41¹

Step-3: Factors of 52954

List of positive integer factors of 52954 that divides 52954 without a remainder.

1, 2, 11, 22, 29, 58, 83, 166, 319, 638, 913, 1826, 2407, 4814, 26477

Step-4: Factors of 52972

List of positive integer factors of 52972 that divides 52954 without a remainder.

1, 2, 4, 17, 19, 34, 38, 41, 68, 76, 82, 164, 323, 646, 697, 779, 1292, 1394, 1558, 2788, 3116, 13243, 26486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52954 and 52972. The biggest common factor number is the GCF number.
So the greatest common factor 52954 and 52972 is 2.

Also check out the Least Common Multiple of 52954 and 52972