What is the Greatest Common Factor of 67639 and 67650?

Greatest common factor (GCF) of 67639 and 67650 is 11.

GCF(67639,67650) = 11

We will now calculate the prime factors of 67639 and 67650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67639 and 67650.

How to find the GCF of 67639 and 67650?

We will first find the prime factorization of 67639 and 67650. After we will calculate the factors of 67639 and 67650 and find the biggest common factor number .

Step-1: Prime Factorization of 67639

Prime factors of 67639 are 11, 13, 43. Prime factorization of 67639 in exponential form is:

67639 = 11² × 13¹ × 43¹

Step-2: 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-3: Factors of 67639

List of positive integer factors of 67639 that divides 67639 without a remainder.

1, 11, 13, 43, 121, 143, 473, 559, 1573, 5203, 6149

Step-4: Factors of 67650

List of positive integer factors of 67650 that divides 67639 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67639 and 67650. The biggest common factor number is the GCF number.
So the greatest common factor 67639 and 67650 is 11.

Also check out the Least Common Multiple of 67639 and 67650