What is the Greatest Common Factor of 52941 and 52948?

Greatest common factor (GCF) of 52941 and 52948 is 7.

GCF(52941,52948) = 7

We will now calculate the prime factors of 52941 and 52948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52941 and 52948.

How to find the GCF of 52941 and 52948?

We will first find the prime factorization of 52941 and 52948. After we will calculate the factors of 52941 and 52948 and find the biggest common factor number .

Step-1: Prime Factorization of 52941

Prime factors of 52941 are 3, 7, 2521. Prime factorization of 52941 in exponential form is:

52941 = 3¹ × 7¹ × 2521¹

Step-2: Prime Factorization of 52948

Prime factors of 52948 are 2, 7, 31, 61. Prime factorization of 52948 in exponential form is:

52948 = 2² × 7¹ × 31¹ × 61¹

Step-3: Factors of 52941

List of positive integer factors of 52941 that divides 52941 without a remainder.

1, 3, 7, 21, 2521, 7563, 17647

Step-4: Factors of 52948

List of positive integer factors of 52948 that divides 52941 without a remainder.

1, 2, 4, 7, 14, 28, 31, 61, 62, 122, 124, 217, 244, 427, 434, 854, 868, 1708, 1891, 3782, 7564, 13237, 26474

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52941 and 52948. The biggest common factor number is the GCF number.
So the greatest common factor 52941 and 52948 is 7.

Also check out the Least Common Multiple of 52941 and 52948