What is the Greatest Common Factor of 82761 and 82768?

Greatest common factor (GCF) of 82761 and 82768 is 7.

GCF(82761,82768) = 7

We will now calculate the prime factors of 82761 and 82768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82761 and 82768.

How to find the GCF of 82761 and 82768?

We will first find the prime factorization of 82761 and 82768. After we will calculate the factors of 82761 and 82768 and find the biggest common factor number .

Step-1: Prime Factorization of 82761

Prime factors of 82761 are 3, 7, 563. Prime factorization of 82761 in exponential form is:

82761 = 3¹ × 7² × 563¹

Step-2: 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-3: Factors of 82761

List of positive integer factors of 82761 that divides 82761 without a remainder.

1, 3, 7, 21, 49, 147, 563, 1689, 3941, 11823, 27587

Step-4: Factors of 82768

List of positive integer factors of 82768 that divides 82761 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82761 and 82768. The biggest common factor number is the GCF number.
So the greatest common factor 82761 and 82768 is 7.

Also check out the Least Common Multiple of 82761 and 82768