What is the Greatest Common Factor of 52649 and 52660?

Greatest common factor (GCF) of 52649 and 52660 is 1.

GCF(52649,52660) = 1

We will now calculate the prime factors of 52649 and 52660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52649 and 52660.

How to find the GCF of 52649 and 52660?

We will first find the prime factorization of 52649 and 52660. After we will calculate the factors of 52649 and 52660 and find the biggest common factor number .

Step-1: Prime Factorization of 52649

Prime factors of 52649 are 17, 19, 163. Prime factorization of 52649 in exponential form is:

52649 = 17¹ × 19¹ × 163¹

Step-2: Prime Factorization of 52660

Prime factors of 52660 are 2, 5, 2633. Prime factorization of 52660 in exponential form is:

52660 = 2² × 5¹ × 2633¹

Step-3: Factors of 52649

List of positive integer factors of 52649 that divides 52649 without a remainder.

1, 17, 19, 163, 323, 2771, 3097

Step-4: Factors of 52660

List of positive integer factors of 52660 that divides 52649 without a remainder.

1, 2, 4, 5, 10, 20, 2633, 5266, 10532, 13165, 26330

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52649 and 52660. The biggest common factor number is the GCF number.
So the greatest common factor 52649 and 52660 is 1.

Also check out the Least Common Multiple of 52649 and 52660