What is the Greatest Common Factor of 62574 and 62592?

Greatest common factor (GCF) of 62574 and 62592 is 6.

GCF(62574,62592) = 6

We will now calculate the prime factors of 62574 and 62592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62574 and 62592.

How to find the GCF of 62574 and 62592?

We will first find the prime factorization of 62574 and 62592. After we will calculate the factors of 62574 and 62592 and find the biggest common factor number .

Step-1: Prime Factorization of 62574

Prime factors of 62574 are 2, 3, 10429. Prime factorization of 62574 in exponential form is:

62574 = 2¹ × 3¹ × 10429¹

Step-2: 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-3: Factors of 62574

List of positive integer factors of 62574 that divides 62574 without a remainder.

1, 2, 3, 6, 10429, 20858, 31287

Step-4: Factors of 62592

List of positive integer factors of 62592 that divides 62574 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62574 and 62592. The biggest common factor number is the GCF number.
So the greatest common factor 62574 and 62592 is 6.

Also check out the Least Common Multiple of 62574 and 62592