What is the Greatest Common Factor of 52617 and 52629?

Greatest common factor (GCF) of 52617 and 52629 is 3.

GCF(52617,52629) = 3

We will now calculate the prime factors of 52617 and 52629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52617 and 52629.

How to find the GCF of 52617 and 52629?

We will first find the prime factorization of 52617 and 52629. After we will calculate the factors of 52617 and 52629 and find the biggest common factor number .

Step-1: Prime Factorization of 52617

Prime factors of 52617 are 3, 17539. Prime factorization of 52617 in exponential form is:

52617 = 3¹ × 17539¹

Step-2: Prime Factorization of 52629

Prime factors of 52629 are 3, 53, 331. Prime factorization of 52629 in exponential form is:

52629 = 3¹ × 53¹ × 331¹

Step-3: Factors of 52617

List of positive integer factors of 52617 that divides 52617 without a remainder.

1, 3, 17539

Step-4: Factors of 52629

List of positive integer factors of 52629 that divides 52617 without a remainder.

1, 3, 53, 159, 331, 993, 17543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52617 and 52629. The biggest common factor number is the GCF number.
So the greatest common factor 52617 and 52629 is 3.

Also check out the Least Common Multiple of 52617 and 52629