What is the Greatest Common Factor of 14614 and 14620?

Greatest common factor (GCF) of 14614 and 14620 is 2.

GCF(14614,14620) = 2

We will now calculate the prime factors of 14614 and 14620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14614 and 14620.

How to find the GCF of 14614 and 14620?

We will first find the prime factorization of 14614 and 14620. After we will calculate the factors of 14614 and 14620 and find the biggest common factor number .

Step-1: Prime Factorization of 14614

Prime factors of 14614 are 2, 7307. Prime factorization of 14614 in exponential form is:

14614 = 2¹ × 7307¹

Step-2: Prime Factorization of 14620

Prime factors of 14620 are 2, 5, 17, 43. Prime factorization of 14620 in exponential form is:

14620 = 2² × 5¹ × 17¹ × 43¹

Step-3: Factors of 14614

List of positive integer factors of 14614 that divides 14614 without a remainder.

1, 2, 7307

Step-4: Factors of 14620

List of positive integer factors of 14620 that divides 14614 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 43, 68, 85, 86, 170, 172, 215, 340, 430, 731, 860, 1462, 2924, 3655, 7310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14614 and 14620. The biggest common factor number is the GCF number.
So the greatest common factor 14614 and 14620 is 2.

Also check out the Least Common Multiple of 14614 and 14620