What is the Greatest Common Factor of 62472 and 62488?

Greatest common factor (GCF) of 62472 and 62488 is 8.

GCF(62472,62488) = 8

We will now calculate the prime factors of 62472 and 62488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62472 and 62488.

How to find the GCF of 62472 and 62488?

We will first find the prime factorization of 62472 and 62488. After we will calculate the factors of 62472 and 62488 and find the biggest common factor number .

Step-1: Prime Factorization of 62472

Prime factors of 62472 are 2, 3, 19, 137. Prime factorization of 62472 in exponential form is:

62472 = 2³ × 3¹ × 19¹ × 137¹

Step-2: Prime Factorization of 62488

Prime factors of 62488 are 2, 73, 107. Prime factorization of 62488 in exponential form is:

62488 = 2³ × 73¹ × 107¹

Step-3: Factors of 62472

List of positive integer factors of 62472 that divides 62472 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 137, 152, 228, 274, 411, 456, 548, 822, 1096, 1644, 2603, 3288, 5206, 7809, 10412, 15618, 20824, 31236

Step-4: Factors of 62488

List of positive integer factors of 62488 that divides 62472 without a remainder.

1, 2, 4, 8, 73, 107, 146, 214, 292, 428, 584, 856, 7811, 15622, 31244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62472 and 62488. The biggest common factor number is the GCF number.
So the greatest common factor 62472 and 62488 is 8.

Also check out the Least Common Multiple of 62472 and 62488