What is the Greatest Common Factor of 82768 and 82772?

Greatest common factor (GCF) of 82768 and 82772 is 4.

GCF(82768,82772) = 4

We will now calculate the prime factors of 82768 and 82772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82768 and 82772.

How to find the GCF of 82768 and 82772?

We will first find the prime factorization of 82768 and 82772. After we will calculate the factors of 82768 and 82772 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 82772

Prime factors of 82772 are 2, 20693. Prime factorization of 82772 in exponential form is:

82772 = 2² × 20693¹

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 82772

List of positive integer factors of 82772 that divides 82768 without a remainder.

1, 2, 4, 20693, 41386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82768 and 82772. The biggest common factor number is the GCF number.
So the greatest common factor 82768 and 82772 is 4.

Also check out the Least Common Multiple of 82768 and 82772