What is the Greatest Common Factor of 52609 and 52626?

Greatest common factor (GCF) of 52609 and 52626 is 1.

GCF(52609,52626) = 1

We will now calculate the prime factors of 52609 and 52626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52609 and 52626.

How to find the GCF of 52609 and 52626?

We will first find the prime factorization of 52609 and 52626. After we will calculate the factors of 52609 and 52626 and find the biggest common factor number .

Step-1: Prime Factorization of 52609

Prime factors of 52609 are 52609. Prime factorization of 52609 in exponential form is:

52609 = 52609¹

Step-2: Prime Factorization of 52626

Prime factors of 52626 are 2, 3, 7, 179. Prime factorization of 52626 in exponential form is:

52626 = 2¹ × 3¹ × 7² × 179¹

Step-3: Factors of 52609

List of positive integer factors of 52609 that divides 52609 without a remainder.

Step-4: Factors of 52626

List of positive integer factors of 52626 that divides 52609 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 179, 294, 358, 537, 1074, 1253, 2506, 3759, 7518, 8771, 17542, 26313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52609 and 52626. The biggest common factor number is the GCF number.
So the greatest common factor 52609 and 52626 is 1.

Also check out the Least Common Multiple of 52609 and 52626