What is the Greatest Common Factor of 52648 and 52665?

Greatest common factor (GCF) of 52648 and 52665 is 1.

GCF(52648,52665) = 1

We will now calculate the prime factors of 52648 and 52665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52648 and 52665.

How to find the GCF of 52648 and 52665?

We will first find the prime factorization of 52648 and 52665. After we will calculate the factors of 52648 and 52665 and find the biggest common factor number .

Step-1: Prime Factorization of 52648

Prime factors of 52648 are 2, 6581. Prime factorization of 52648 in exponential form is:

52648 = 2³ × 6581¹

Step-2: Prime Factorization of 52665

Prime factors of 52665 are 3, 5, 3511. Prime factorization of 52665 in exponential form is:

52665 = 3¹ × 5¹ × 3511¹

Step-3: Factors of 52648

List of positive integer factors of 52648 that divides 52648 without a remainder.

1, 2, 4, 8, 6581, 13162, 26324

Step-4: Factors of 52665

List of positive integer factors of 52665 that divides 52648 without a remainder.

1, 3, 5, 15, 3511, 10533, 17555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52648 and 52665. The biggest common factor number is the GCF number.
So the greatest common factor 52648 and 52665 is 1.

Also check out the Least Common Multiple of 52648 and 52665