What is the Greatest Common Factor of 27614 and 27630?

Greatest common factor (GCF) of 27614 and 27630 is 2.

GCF(27614,27630) = 2

We will now calculate the prime factors of 27614 and 27630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27614 and 27630.

How to find the GCF of 27614 and 27630?

We will first find the prime factorization of 27614 and 27630. After we will calculate the factors of 27614 and 27630 and find the biggest common factor number .

Step-1: Prime Factorization of 27614

Prime factors of 27614 are 2, 13807. Prime factorization of 27614 in exponential form is:

27614 = 2¹ × 13807¹

Step-2: Prime Factorization of 27630

Prime factors of 27630 are 2, 3, 5, 307. Prime factorization of 27630 in exponential form is:

27630 = 2¹ × 3² × 5¹ × 307¹

Step-3: Factors of 27614

List of positive integer factors of 27614 that divides 27614 without a remainder.

1, 2, 13807

Step-4: Factors of 27630

List of positive integer factors of 27630 that divides 27614 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 307, 614, 921, 1535, 1842, 2763, 3070, 4605, 5526, 9210, 13815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27614 and 27630. The biggest common factor number is the GCF number.
So the greatest common factor 27614 and 27630 is 2.

Also check out the Least Common Multiple of 27614 and 27630