What is the Greatest Common Factor of 10640 and 10659?

Greatest common factor (GCF) of 10640 and 10659 is 19.

GCF(10640,10659) = 19

We will now calculate the prime factors of 10640 and 10659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10640 and 10659.

How to find the GCF of 10640 and 10659?

We will first find the prime factorization of 10640 and 10659. After we will calculate the factors of 10640 and 10659 and find the biggest common factor number .

Step-1: Prime Factorization of 10640

Prime factors of 10640 are 2, 5, 7, 19. Prime factorization of 10640 in exponential form is:

10640 = 2⁴ × 5¹ × 7¹ × 19¹

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 10640

List of positive integer factors of 10640 that divides 10640 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 19, 20, 28, 35, 38, 40, 56, 70, 76, 80, 95, 112, 133, 140, 152, 190, 266, 280, 304, 380, 532, 560, 665, 760, 1064, 1330, 1520, 2128, 2660, 5320

Step-4: Factors of 10659

List of positive integer factors of 10659 that divides 10640 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 10640 and 10659. The biggest common factor number is the GCF number.
So the greatest common factor 10640 and 10659 is 19.

Also check out the Least Common Multiple of 10640 and 10659