What is the Greatest Common Factor of 65642 and 65660?

Greatest common factor (GCF) of 65642 and 65660 is 2.

GCF(65642,65660) = 2

We will now calculate the prime factors of 65642 and 65660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65642 and 65660.

How to find the GCF of 65642 and 65660?

We will first find the prime factorization of 65642 and 65660. After we will calculate the factors of 65642 and 65660 and find the biggest common factor number .

Step-1: Prime Factorization of 65642

Prime factors of 65642 are 2, 23, 1427. Prime factorization of 65642 in exponential form is:

65642 = 2¹ × 23¹ × 1427¹

Step-2: Prime Factorization of 65660

Prime factors of 65660 are 2, 5, 7, 67. Prime factorization of 65660 in exponential form is:

65660 = 2² × 5¹ × 7² × 67¹

Step-3: Factors of 65642

List of positive integer factors of 65642 that divides 65642 without a remainder.

1, 2, 23, 46, 1427, 2854, 32821

Step-4: Factors of 65660

List of positive integer factors of 65660 that divides 65642 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 67, 70, 98, 134, 140, 196, 245, 268, 335, 469, 490, 670, 938, 980, 1340, 1876, 2345, 3283, 4690, 6566, 9380, 13132, 16415, 32830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65642 and 65660. The biggest common factor number is the GCF number.
So the greatest common factor 65642 and 65660 is 2.

Also check out the Least Common Multiple of 65642 and 65660