What is the Greatest Common Factor of 62790 and 62808?

Greatest common factor (GCF) of 62790 and 62808 is 6.

GCF(62790,62808) = 6

We will now calculate the prime factors of 62790 and 62808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62790 and 62808.

How to find the GCF of 62790 and 62808?

We will first find the prime factorization of 62790 and 62808. After we will calculate the factors of 62790 and 62808 and find the biggest common factor number .

Step-1: Prime Factorization of 62790

Prime factors of 62790 are 2, 3, 5, 7, 13, 23. Prime factorization of 62790 in exponential form is:

62790 = 2¹ × 3¹ × 5¹ × 7¹ × 13¹ × 23¹

Step-2: Prime Factorization of 62808

Prime factors of 62808 are 2, 3, 2617. Prime factorization of 62808 in exponential form is:

62808 = 2³ × 3¹ × 2617¹

Step-3: Factors of 62790

List of positive integer factors of 62790 that divides 62790 without a remainder.

1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 23, 26, 30, 35, 39, 42, 46, 65, 69, 70, 78, 91, 105, 115, 130, 138, 161, 182, 195, 210, 230, 273, 299, 322, 345, 390, 455, 483, 546, 598, 690, 805, 897, 910, 966, 1365, 1495, 1610, 1794, 2093, 2415, 2730, 2990, 4186, 4485, 4830, 6279, 8970, 10465, 12558, 20930, 31395

Step-4: Factors of 62808

List of positive integer factors of 62808 that divides 62790 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2617, 5234, 7851, 10468, 15702, 20936, 31404

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62790 and 62808. The biggest common factor number is the GCF number.
So the greatest common factor 62790 and 62808 is 6.

Also check out the Least Common Multiple of 62790 and 62808