What is the Greatest Common Factor of 65653 and 65660?

Greatest common factor (GCF) of 65653 and 65660 is 7.

GCF(65653,65660) = 7

We will now calculate the prime factors of 65653 and 65660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65653 and 65660.

How to find the GCF of 65653 and 65660?

We will first find the prime factorization of 65653 and 65660. After we will calculate the factors of 65653 and 65660 and find the biggest common factor number .

Step-1: Prime Factorization of 65653

Prime factors of 65653 are 7, 83, 113. Prime factorization of 65653 in exponential form is:

65653 = 7¹ × 83¹ × 113¹

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 65653

List of positive integer factors of 65653 that divides 65653 without a remainder.

1, 7, 83, 113, 581, 791, 9379

Step-4: Factors of 65660

List of positive integer factors of 65660 that divides 65653 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 65653 and 65660. The biggest common factor number is the GCF number.
So the greatest common factor 65653 and 65660 is 7.

Also check out the Least Common Multiple of 65653 and 65660