What is the Greatest Common Factor of 65780 and 65788?

Greatest common factor (GCF) of 65780 and 65788 is 4.

GCF(65780,65788) = 4

We will now calculate the prime factors of 65780 and 65788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65780 and 65788.

How to find the GCF of 65780 and 65788?

We will first find the prime factorization of 65780 and 65788. After we will calculate the factors of 65780 and 65788 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 65788

Prime factors of 65788 are 2, 16447. Prime factorization of 65788 in exponential form is:

65788 = 2² × 16447¹

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 65788

List of positive integer factors of 65788 that divides 65780 without a remainder.

1, 2, 4, 16447, 32894

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65780 and 65788. The biggest common factor number is the GCF number.
So the greatest common factor 65780 and 65788 is 4.

Also check out the Least Common Multiple of 65780 and 65788