What is the Greatest Common Factor of 65780 and 65793?

Greatest common factor (GCF) of 65780 and 65793 is 13.

GCF(65780,65793) = 13

We will now calculate the prime factors of 65780 and 65793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65780 and 65793.

How to find the GCF of 65780 and 65793?

We will first find the prime factorization of 65780 and 65793. After we will calculate the factors of 65780 and 65793 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 65793

Prime factors of 65793 are 3, 7, 13, 241. Prime factorization of 65793 in exponential form is:

65793 = 3¹ × 7¹ × 13¹ × 241¹

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 65793

List of positive integer factors of 65793 that divides 65780 without a remainder.

1, 3, 7, 13, 21, 39, 91, 241, 273, 723, 1687, 3133, 5061, 9399, 21931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65780 and 65793. The biggest common factor number is the GCF number.
So the greatest common factor 65780 and 65793 is 13.

Also check out the Least Common Multiple of 65780 and 65793