What is the Greatest Common Factor of 62592 and 62610?

Greatest common factor (GCF) of 62592 and 62610 is 6.

GCF(62592,62610) = 6

We will now calculate the prime factors of 62592 and 62610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62592 and 62610.

How to find the GCF of 62592 and 62610?

We will first find the prime factorization of 62592 and 62610. After we will calculate the factors of 62592 and 62610 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 62610

Prime factors of 62610 are 2, 3, 5, 2087. Prime factorization of 62610 in exponential form is:

62610 = 2¹ × 3¹ × 5¹ × 2087¹

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 62610

List of positive integer factors of 62610 that divides 62592 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2087, 4174, 6261, 10435, 12522, 20870, 31305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62592 and 62610. The biggest common factor number is the GCF number.
So the greatest common factor 62592 and 62610 is 6.

Also check out the Least Common Multiple of 62592 and 62610