What is the Greatest Common Factor of 10650 and 10659?

Greatest common factor (GCF) of 10650 and 10659 is 3.

GCF(10650,10659) = 3

We will now calculate the prime factors of 10650 and 10659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10650 and 10659.

How to find the GCF of 10650 and 10659?

We will first find the prime factorization of 10650 and 10659. After we will calculate the factors of 10650 and 10659 and find the biggest common factor number .

Step-1: Prime Factorization of 10650

Prime factors of 10650 are 2, 3, 5, 71. Prime factorization of 10650 in exponential form is:

10650 = 2¹ × 3¹ × 5² × 71¹

Step-2: Prime Factorization of 10659

Prime factors of 10659 are 3, 11, 17, 19. Prime factorization of 10659 in exponential form is:

10659 = 3¹ × 11¹ × 17¹ × 19¹

Step-3: Factors of 10650

List of positive integer factors of 10650 that divides 10650 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 71, 75, 142, 150, 213, 355, 426, 710, 1065, 1775, 2130, 3550, 5325

Step-4: Factors of 10659

List of positive integer factors of 10659 that divides 10650 without a remainder.

1, 3, 11, 17, 19, 33, 51, 57, 187, 209, 323, 561, 627, 969, 3553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10650 and 10659. The biggest common factor number is the GCF number.
So the greatest common factor 10650 and 10659 is 3.

Also check out the Least Common Multiple of 10650 and 10659