What is the Greatest Common Factor of 52650 and 52661?

Greatest common factor (GCF) of 52650 and 52661 is 1.

GCF(52650,52661) = 1

We will now calculate the prime factors of 52650 and 52661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52650 and 52661.

How to find the GCF of 52650 and 52661?

We will first find the prime factorization of 52650 and 52661. After we will calculate the factors of 52650 and 52661 and find the biggest common factor number .

Step-1: Prime Factorization of 52650

Prime factors of 52650 are 2, 3, 5, 13. Prime factorization of 52650 in exponential form is:

52650 = 2¹ × 3⁴ × 5² × 13¹

Step-2: Prime Factorization of 52661

Prime factors of 52661 are 7, 7523. Prime factorization of 52661 in exponential form is:

52661 = 7¹ × 7523¹

Step-3: Factors of 52650

List of positive integer factors of 52650 that divides 52650 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 27, 30, 39, 45, 50, 54, 65, 75, 78, 81, 90, 117, 130, 135, 150, 162, 195, 225, 234, 270, 325, 351, 390, 405, 450, 585, 650, 675, 702, 810, 975, 1053, 1170, 1350, 1755, 1950, 2025, 2106, 2925, 3510, 4050, 5265, 5850, 8775, 10530, 17550, 26325

Step-4: Factors of 52661

List of positive integer factors of 52661 that divides 52650 without a remainder.

1, 7, 7523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52650 and 52661. The biggest common factor number is the GCF number.
So the greatest common factor 52650 and 52661 is 1.

Also check out the Least Common Multiple of 52650 and 52661