What is the Greatest Common Factor of 65762 and 65780?

Greatest common factor (GCF) of 65762 and 65780 is 2.

GCF(65762,65780) = 2

We will now calculate the prime factors of 65762 and 65780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65762 and 65780.

How to find the GCF of 65762 and 65780?

We will first find the prime factorization of 65762 and 65780. After we will calculate the factors of 65762 and 65780 and find the biggest common factor number .

Step-1: Prime Factorization of 65762

Prime factors of 65762 are 2, 131, 251. Prime factorization of 65762 in exponential form is:

65762 = 2¹ × 131¹ × 251¹

Step-2: 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-3: Factors of 65762

List of positive integer factors of 65762 that divides 65762 without a remainder.

1, 2, 131, 251, 262, 502, 32881

Step-4: Factors of 65780

List of positive integer factors of 65780 that divides 65762 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65762 and 65780. The biggest common factor number is the GCF number.
So the greatest common factor 65762 and 65780 is 2.

Also check out the Least Common Multiple of 65762 and 65780