What is the Greatest Common Factor of 17614 and 17628?

Greatest common factor (GCF) of 17614 and 17628 is 2.

GCF(17614,17628) = 2

We will now calculate the prime factors of 17614 and 17628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17614 and 17628.

How to find the GCF of 17614 and 17628?

We will first find the prime factorization of 17614 and 17628. After we will calculate the factors of 17614 and 17628 and find the biggest common factor number .

Step-1: Prime Factorization of 17614

Prime factors of 17614 are 2, 8807. Prime factorization of 17614 in exponential form is:

17614 = 2¹ × 8807¹

Step-2: Prime Factorization of 17628

Prime factors of 17628 are 2, 3, 13, 113. Prime factorization of 17628 in exponential form is:

17628 = 2² × 3¹ × 13¹ × 113¹

Step-3: Factors of 17614

List of positive integer factors of 17614 that divides 17614 without a remainder.

1, 2, 8807

Step-4: Factors of 17628

List of positive integer factors of 17628 that divides 17614 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 113, 156, 226, 339, 452, 678, 1356, 1469, 2938, 4407, 5876, 8814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17614 and 17628. The biggest common factor number is the GCF number.
So the greatest common factor 17614 and 17628 is 2.

Also check out the Least Common Multiple of 17614 and 17628