What is the Greatest Common Factor of 62784 and 62790?

Greatest common factor (GCF) of 62784 and 62790 is 6.

GCF(62784,62790) = 6

We will now calculate the prime factors of 62784 and 62790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62784 and 62790.

How to find the GCF of 62784 and 62790?

We will first find the prime factorization of 62784 and 62790. After we will calculate the factors of 62784 and 62790 and find the biggest common factor number .

Step-1: Prime Factorization of 62784

Prime factors of 62784 are 2, 3, 109. Prime factorization of 62784 in exponential form is:

62784 = 2⁶ × 3² × 109¹

Step-2: 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-3: Factors of 62784

List of positive integer factors of 62784 that divides 62784 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 109, 144, 192, 218, 288, 327, 436, 576, 654, 872, 981, 1308, 1744, 1962, 2616, 3488, 3924, 5232, 6976, 7848, 10464, 15696, 20928, 31392

Step-4: Factors of 62790

List of positive integer factors of 62790 that divides 62784 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62784 and 62790. The biggest common factor number is the GCF number.
So the greatest common factor 62784 and 62790 is 6.

Also check out the Least Common Multiple of 62784 and 62790