What is the Greatest Common Factor of 62790 and 62800?

Greatest common factor (GCF) of 62790 and 62800 is 10.

GCF(62790,62800) = 10

We will now calculate the prime factors of 62790 and 62800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62790 and 62800.

How to find the GCF of 62790 and 62800?

We will first find the prime factorization of 62790 and 62800. After we will calculate the factors of 62790 and 62800 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 62800

Prime factors of 62800 are 2, 5, 157. Prime factorization of 62800 in exponential form is:

62800 = 2⁴ × 5² × 157¹

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 62800

List of positive integer factors of 62800 that divides 62790 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 157, 200, 314, 400, 628, 785, 1256, 1570, 2512, 3140, 3925, 6280, 7850, 12560, 15700, 31400

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62790 and 62800. The biggest common factor number is the GCF number.
So the greatest common factor 62790 and 62800 is 10.

Also check out the Least Common Multiple of 62790 and 62800