What is the Greatest Common Factor of 52472 and 52486?

Greatest common factor (GCF) of 52472 and 52486 is 14.

GCF(52472,52486) = 14

We will now calculate the prime factors of 52472 and 52486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52472 and 52486.

How to find the GCF of 52472 and 52486?

We will first find the prime factorization of 52472 and 52486. After we will calculate the factors of 52472 and 52486 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 52486

Prime factors of 52486 are 2, 7, 23, 163. Prime factorization of 52486 in exponential form is:

52486 = 2¹ × 7¹ × 23¹ × 163¹

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 52486

List of positive integer factors of 52486 that divides 52472 without a remainder.

1, 2, 7, 14, 23, 46, 161, 163, 322, 326, 1141, 2282, 3749, 7498, 26243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52472 and 52486. The biggest common factor number is the GCF number.
So the greatest common factor 52472 and 52486 is 14.

Also check out the Least Common Multiple of 52472 and 52486