What is the Greatest Common Factor of 62592 and 62607?

Greatest common factor (GCF) of 62592 and 62607 is 3.

GCF(62592,62607) = 3

We will now calculate the prime factors of 62592 and 62607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62592 and 62607.

How to find the GCF of 62592 and 62607?

We will first find the prime factorization of 62592 and 62607. After we will calculate the factors of 62592 and 62607 and find the biggest common factor number .

Step-1: Prime Factorization of 62592

Prime factors of 62592 are 2, 3, 163. Prime factorization of 62592 in exponential form is:

62592 = 2⁷ × 3¹ × 163¹

Step-2: Prime Factorization of 62607

Prime factors of 62607 are 3, 41, 509. Prime factorization of 62607 in exponential form is:

62607 = 3¹ × 41¹ × 509¹

Step-3: Factors of 62592

List of positive integer factors of 62592 that divides 62592 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 163, 192, 326, 384, 489, 652, 978, 1304, 1956, 2608, 3912, 5216, 7824, 10432, 15648, 20864, 31296

Step-4: Factors of 62607

List of positive integer factors of 62607 that divides 62592 without a remainder.

1, 3, 41, 123, 509, 1527, 20869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62592 and 62607. The biggest common factor number is the GCF number.
So the greatest common factor 62592 and 62607 is 3.

Also check out the Least Common Multiple of 62592 and 62607