What is the Greatest Common Factor of 66638 and 66649?

Greatest common factor (GCF) of 66638 and 66649 is 11.

GCF(66638,66649) = 11

We will now calculate the prime factors of 66638 and 66649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66638 and 66649.

How to find the GCF of 66638 and 66649?

We will first find the prime factorization of 66638 and 66649. After we will calculate the factors of 66638 and 66649 and find the biggest common factor number .

Step-1: Prime Factorization of 66638

Prime factors of 66638 are 2, 11, 13, 233. Prime factorization of 66638 in exponential form is:

66638 = 2¹ × 11¹ × 13¹ × 233¹

Step-2: Prime Factorization of 66649

Prime factors of 66649 are 11, 73, 83. Prime factorization of 66649 in exponential form is:

66649 = 11¹ × 73¹ × 83¹

Step-3: Factors of 66638

List of positive integer factors of 66638 that divides 66638 without a remainder.

1, 2, 11, 13, 22, 26, 143, 233, 286, 466, 2563, 3029, 5126, 6058, 33319

Step-4: Factors of 66649

List of positive integer factors of 66649 that divides 66638 without a remainder.

1, 11, 73, 83, 803, 913, 6059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66638 and 66649. The biggest common factor number is the GCF number.
So the greatest common factor 66638 and 66649 is 11.

Also check out the Least Common Multiple of 66638 and 66649