What is the Greatest Common Factor of 65780 and 65791?

Greatest common factor (GCF) of 65780 and 65791 is 11.

GCF(65780,65791) = 11

We will now calculate the prime factors of 65780 and 65791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65780 and 65791.

How to find the GCF of 65780 and 65791?

We will first find the prime factorization of 65780 and 65791. After we will calculate the factors of 65780 and 65791 and find the biggest common factor number .

Step-1: Prime Factorization of 65780

Prime factors of 65780 are 2, 5, 11, 13, 23. Prime factorization of 65780 in exponential form is:

65780 = 2² × 5¹ × 11¹ × 13¹ × 23¹

Step-2: Prime Factorization of 65791

Prime factors of 65791 are 11, 5981. Prime factorization of 65791 in exponential form is:

65791 = 11¹ × 5981¹

Step-3: Factors of 65780

List of positive integer factors of 65780 that divides 65780 without a remainder.

1, 2, 4, 5, 10, 11, 13, 20, 22, 23, 26, 44, 46, 52, 55, 65, 92, 110, 115, 130, 143, 220, 230, 253, 260, 286, 299, 460, 506, 572, 598, 715, 1012, 1196, 1265, 1430, 1495, 2530, 2860, 2990, 3289, 5060, 5980, 6578, 13156, 16445, 32890

Step-4: Factors of 65791

List of positive integer factors of 65791 that divides 65780 without a remainder.

1, 11, 5981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65780 and 65791. The biggest common factor number is the GCF number.
So the greatest common factor 65780 and 65791 is 11.

Also check out the Least Common Multiple of 65780 and 65791