What is the Greatest Common Factor of 66634 and 66642?

Greatest common factor (GCF) of 66634 and 66642 is 2.

GCF(66634,66642) = 2

We will now calculate the prime factors of 66634 and 66642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66634 and 66642.

How to find the GCF of 66634 and 66642?

We will first find the prime factorization of 66634 and 66642. After we will calculate the factors of 66634 and 66642 and find the biggest common factor number .

Step-1: Prime Factorization of 66634

Prime factors of 66634 are 2, 33317. Prime factorization of 66634 in exponential form is:

66634 = 2¹ × 33317¹

Step-2: 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-3: Factors of 66634

List of positive integer factors of 66634 that divides 66634 without a remainder.

1, 2, 33317

Step-4: Factors of 66642

List of positive integer factors of 66642 that divides 66634 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66634 and 66642. The biggest common factor number is the GCF number.
So the greatest common factor 66634 and 66642 is 2.

Also check out the Least Common Multiple of 66634 and 66642