What is the Greatest Common Factor of 62784 and 62793?

Greatest common factor (GCF) of 62784 and 62793 is 9.

GCF(62784,62793) = 9

We will now calculate the prime factors of 62784 and 62793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62784 and 62793.

How to find the GCF of 62784 and 62793?

We will first find the prime factorization of 62784 and 62793. After we will calculate the factors of 62784 and 62793 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 62793

Prime factors of 62793 are 3, 6977. Prime factorization of 62793 in exponential form is:

62793 = 3² × 6977¹

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 62793

List of positive integer factors of 62793 that divides 62784 without a remainder.

1, 3, 9, 6977, 20931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62784 and 62793. The biggest common factor number is the GCF number.
So the greatest common factor 62784 and 62793 is 9.

Also check out the Least Common Multiple of 62784 and 62793