What is the Greatest Common Factor of 62790 and 62804?

Greatest common factor (GCF) of 62790 and 62804 is 14.

GCF(62790,62804) = 14

We will now calculate the prime factors of 62790 and 62804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62790 and 62804.

How to find the GCF of 62790 and 62804?

We will first find the prime factorization of 62790 and 62804. After we will calculate the factors of 62790 and 62804 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 62804

Prime factors of 62804 are 2, 7, 2243. Prime factorization of 62804 in exponential form is:

62804 = 2² × 7¹ × 2243¹

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 62804

List of positive integer factors of 62804 that divides 62790 without a remainder.

1, 2, 4, 7, 14, 28, 2243, 4486, 8972, 15701, 31402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62790 and 62804. The biggest common factor number is the GCF number.
So the greatest common factor 62790 and 62804 is 14.

Also check out the Least Common Multiple of 62790 and 62804