What is the Greatest Common Factor of 62772 and 62784?

Greatest common factor (GCF) of 62772 and 62784 is 12.

GCF(62772,62784) = 12

We will now calculate the prime factors of 62772 and 62784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62772 and 62784.

How to find the GCF of 62772 and 62784?

We will first find the prime factorization of 62772 and 62784. After we will calculate the factors of 62772 and 62784 and find the biggest common factor number .

Step-1: Prime Factorization of 62772

Prime factors of 62772 are 2, 3, 5231. Prime factorization of 62772 in exponential form is:

62772 = 2² × 3¹ × 5231¹

Step-2: 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-3: Factors of 62772

List of positive integer factors of 62772 that divides 62772 without a remainder.

1, 2, 3, 4, 6, 12, 5231, 10462, 15693, 20924, 31386

Step-4: Factors of 62784

List of positive integer factors of 62784 that divides 62772 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62772 and 62784. The biggest common factor number is the GCF number.
So the greatest common factor 62772 and 62784 is 12.

Also check out the Least Common Multiple of 62772 and 62784