What is the Greatest Common Factor of 66642 and 66649?

Greatest common factor (GCF) of 66642 and 66649 is 1.

GCF(66642,66649) = 1

We will now calculate the prime factors of 66642 and 66649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66642 and 66649.

How to find the GCF of 66642 and 66649?

We will first find the prime factorization of 66642 and 66649. After we will calculate the factors of 66642 and 66649 and find the biggest common factor number .

Step-1: Prime Factorization of 66642

Prime factors of 66642 are 2, 3, 29, 383. Prime factorization of 66642 in exponential form is:

66642 = 2¹ × 3¹ × 29¹ × 383¹

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 66642

List of positive integer factors of 66642 that divides 66642 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 383, 766, 1149, 2298, 11107, 22214, 33321

Step-4: Factors of 66649

List of positive integer factors of 66649 that divides 66642 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66642 and 66649. The biggest common factor number is the GCF number.
So the greatest common factor 66642 and 66649 is 1.

Also check out the Least Common Multiple of 66642 and 66649