What is the Greatest Common Factor of 62784 and 62791?

Greatest common factor (GCF) of 62784 and 62791 is 1.

GCF(62784,62791) = 1

We will now calculate the prime factors of 62784 and 62791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62784 and 62791.

How to find the GCF of 62784 and 62791?

We will first find the prime factorization of 62784 and 62791. After we will calculate the factors of 62784 and 62791 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 62791

Prime factors of 62791 are 62791. Prime factorization of 62791 in exponential form is:

62791 = 62791¹

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 62791

List of positive integer factors of 62791 that divides 62784 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62784 and 62791. The biggest common factor number is the GCF number.
So the greatest common factor 62784 and 62791 is 1.

Also check out the Least Common Multiple of 62784 and 62791