What is the Greatest Common Factor of 82768 and 82788?

Greatest common factor (GCF) of 82768 and 82788 is 4.

GCF(82768,82788) = 4

We will now calculate the prime factors of 82768 and 82788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82768 and 82788.

How to find the GCF of 82768 and 82788?

We will first find the prime factorization of 82768 and 82788. After we will calculate the factors of 82768 and 82788 and find the biggest common factor number .

Step-1: Prime Factorization of 82768

Prime factors of 82768 are 2, 7, 739. Prime factorization of 82768 in exponential form is:

82768 = 2⁴ × 7¹ × 739¹

Step-2: Prime Factorization of 82788

Prime factors of 82788 are 2, 3, 6899. Prime factorization of 82788 in exponential form is:

82788 = 2² × 3¹ × 6899¹

Step-3: Factors of 82768

List of positive integer factors of 82768 that divides 82768 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 739, 1478, 2956, 5173, 5912, 10346, 11824, 20692, 41384

Step-4: Factors of 82788

List of positive integer factors of 82788 that divides 82768 without a remainder.

1, 2, 3, 4, 6, 12, 6899, 13798, 20697, 27596, 41394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82768 and 82788. The biggest common factor number is the GCF number.
So the greatest common factor 82768 and 82788 is 4.

Also check out the Least Common Multiple of 82768 and 82788