What is the Greatest Common Factor of 67650 and 67661?

Greatest common factor (GCF) of 67650 and 67661 is 11.

GCF(67650,67661) = 11

We will now calculate the prime factors of 67650 and 67661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67650 and 67661.

How to find the GCF of 67650 and 67661?

We will first find the prime factorization of 67650 and 67661. After we will calculate the factors of 67650 and 67661 and find the biggest common factor number .

Step-1: Prime Factorization of 67650

Prime factors of 67650 are 2, 3, 5, 11, 41. Prime factorization of 67650 in exponential form is:

67650 = 2¹ × 3¹ × 5² × 11¹ × 41¹

Step-2: Prime Factorization of 67661

Prime factors of 67661 are 11, 6151. Prime factorization of 67661 in exponential form is:

67661 = 11¹ × 6151¹

Step-3: Factors of 67650

List of positive integer factors of 67650 that divides 67650 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 41, 50, 55, 66, 75, 82, 110, 123, 150, 165, 205, 246, 275, 330, 410, 451, 550, 615, 825, 902, 1025, 1230, 1353, 1650, 2050, 2255, 2706, 3075, 4510, 6150, 6765, 11275, 13530, 22550, 33825

Step-4: Factors of 67661

List of positive integer factors of 67661 that divides 67650 without a remainder.

1, 11, 6151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67650 and 67661. The biggest common factor number is the GCF number.
So the greatest common factor 67650 and 67661 is 11.

Also check out the Least Common Multiple of 67650 and 67661