What is the Greatest Common Factor of 67614 and 67630?

Greatest common factor (GCF) of 67614 and 67630 is 2.

GCF(67614,67630) = 2

We will now calculate the prime factors of 67614 and 67630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67614 and 67630.

How to find the GCF of 67614 and 67630?

We will first find the prime factorization of 67614 and 67630. After we will calculate the factors of 67614 and 67630 and find the biggest common factor number .

Step-1: Prime Factorization of 67614

Prime factors of 67614 are 2, 3, 59, 191. Prime factorization of 67614 in exponential form is:

67614 = 2¹ × 3¹ × 59¹ × 191¹

Step-2: Prime Factorization of 67630

Prime factors of 67630 are 2, 5, 6763. Prime factorization of 67630 in exponential form is:

67630 = 2¹ × 5¹ × 6763¹

Step-3: Factors of 67614

List of positive integer factors of 67614 that divides 67614 without a remainder.

1, 2, 3, 6, 59, 118, 177, 191, 354, 382, 573, 1146, 11269, 22538, 33807

Step-4: Factors of 67630

List of positive integer factors of 67630 that divides 67614 without a remainder.

1, 2, 5, 10, 6763, 13526, 33815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67614 and 67630. The biggest common factor number is the GCF number.
So the greatest common factor 67614 and 67630 is 2.

Also check out the Least Common Multiple of 67614 and 67630