What is the Greatest Common Factor of 52458 and 52472?

Greatest common factor (GCF) of 52458 and 52472 is 14.

GCF(52458,52472) = 14

We will now calculate the prime factors of 52458 and 52472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52458 and 52472.

How to find the GCF of 52458 and 52472?

We will first find the prime factorization of 52458 and 52472. After we will calculate the factors of 52458 and 52472 and find the biggest common factor number .

Step-1: Prime Factorization of 52458

Prime factors of 52458 are 2, 3, 7, 1249. Prime factorization of 52458 in exponential form is:

52458 = 2¹ × 3¹ × 7¹ × 1249¹

Step-2: Prime Factorization of 52472

Prime factors of 52472 are 2, 7, 937. Prime factorization of 52472 in exponential form is:

52472 = 2³ × 7¹ × 937¹

Step-3: Factors of 52458

List of positive integer factors of 52458 that divides 52458 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1249, 2498, 3747, 7494, 8743, 17486, 26229

Step-4: Factors of 52472

List of positive integer factors of 52472 that divides 52458 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 937, 1874, 3748, 6559, 7496, 13118, 26236

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52458 and 52472. The biggest common factor number is the GCF number.
So the greatest common factor 52458 and 52472 is 14.

Also check out the Least Common Multiple of 52458 and 52472