What is the Greatest Common Factor of 52472 and 52492?

Greatest common factor (GCF) of 52472 and 52492 is 4.

GCF(52472,52492) = 4

We will now calculate the prime factors of 52472 and 52492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52472 and 52492.

How to find the GCF of 52472 and 52492?

We will first find the prime factorization of 52472 and 52492. After we will calculate the factors of 52472 and 52492 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52492

Prime factors of 52492 are 2, 11, 1193. Prime factorization of 52492 in exponential form is:

52492 = 2² × 11¹ × 1193¹

Step-3: Factors of 52472

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

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

Step-4: Factors of 52492

List of positive integer factors of 52492 that divides 52472 without a remainder.

1, 2, 4, 11, 22, 44, 1193, 2386, 4772, 13123, 26246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52472 and 52492. The biggest common factor number is the GCF number.
So the greatest common factor 52472 and 52492 is 4.

Also check out the Least Common Multiple of 52472 and 52492