What is the Greatest Common Factor of 52650 and 52666?

Greatest common factor (GCF) of 52650 and 52666 is 2.

GCF(52650,52666) = 2

We will now calculate the prime factors of 52650 and 52666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52650 and 52666.

How to find the GCF of 52650 and 52666?

We will first find the prime factorization of 52650 and 52666. After we will calculate the factors of 52650 and 52666 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 52666

Prime factors of 52666 are 2, 17, 1549. Prime factorization of 52666 in exponential form is:

52666 = 2¹ × 17¹ × 1549¹

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 52666

List of positive integer factors of 52666 that divides 52650 without a remainder.

1, 2, 17, 34, 1549, 3098, 26333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52650 and 52666. The biggest common factor number is the GCF number.
So the greatest common factor 52650 and 52666 is 2.

Also check out the Least Common Multiple of 52650 and 52666