What is the Greatest Common Factor of 62784 and 62797?

Greatest common factor (GCF) of 62784 and 62797 is 1.

GCF(62784,62797) = 1

We will now calculate the prime factors of 62784 and 62797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62784 and 62797.

How to find the GCF of 62784 and 62797?

We will first find the prime factorization of 62784 and 62797. After we will calculate the factors of 62784 and 62797 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 62797

Prime factors of 62797 are 7, 8971. Prime factorization of 62797 in exponential form is:

62797 = 7¹ × 8971¹

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 62797

List of positive integer factors of 62797 that divides 62784 without a remainder.

1, 7, 8971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62784 and 62797. The biggest common factor number is the GCF number.
So the greatest common factor 62784 and 62797 is 1.

Also check out the Least Common Multiple of 62784 and 62797