What is the Greatest Common Factor of 67650 and 67659?

Greatest common factor (GCF) of 67650 and 67659 is 3.

GCF(67650,67659) = 3

We will now calculate the prime factors of 67650 and 67659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67650 and 67659.

How to find the GCF of 67650 and 67659?

We will first find the prime factorization of 67650 and 67659. After we will calculate the factors of 67650 and 67659 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 67659

Prime factors of 67659 are 3, 19, 1187. Prime factorization of 67659 in exponential form is:

67659 = 3¹ × 19¹ × 1187¹

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 67659

List of positive integer factors of 67659 that divides 67650 without a remainder.

1, 3, 19, 57, 1187, 3561, 22553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67650 and 67659. The biggest common factor number is the GCF number.
So the greatest common factor 67650 and 67659 is 3.

Also check out the Least Common Multiple of 67650 and 67659