What is the Greatest Common Factor of 82768 and 82780?

Greatest common factor (GCF) of 82768 and 82780 is 4.

GCF(82768,82780) = 4

We will now calculate the prime factors of 82768 and 82780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82768 and 82780.

How to find the GCF of 82768 and 82780?

We will first find the prime factorization of 82768 and 82780. After we will calculate the factors of 82768 and 82780 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 82780

Prime factors of 82780 are 2, 5, 4139. Prime factorization of 82780 in exponential form is:

82780 = 2² × 5¹ × 4139¹

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 82780

List of positive integer factors of 82780 that divides 82768 without a remainder.

1, 2, 4, 5, 10, 20, 4139, 8278, 16556, 20695, 41390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82768 and 82780. The biggest common factor number is the GCF number.
So the greatest common factor 82768 and 82780 is 4.

Also check out the Least Common Multiple of 82768 and 82780