GCF and LCM Calculator Logo

What is the Greatest Common Factor of 15302 and 15318?

Greatest common factor (GCF) of 15302 and 15318 is 2.

GCF(15302,15318) = 2

We will now calculate the prime factors of 15302 and 15318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15302 and 15318.

GCF Calculator and
and

How to find the GCF of 15302 and 15318?

We will first find the prime factorization of 15302 and 15318. After we will calculate the factors of 15302 and 15318 and find the biggest common factor number .

Step-1: Prime Factorization of 15302

Prime factors of 15302 are 2, 7, 1093. Prime factorization of 15302 in exponential form is:

15302 = 21 × 71 × 10931

Step-2: Prime Factorization of 15318

Prime factors of 15318 are 2, 3, 23, 37. Prime factorization of 15318 in exponential form is:

15318 = 21 × 32 × 231 × 371

Step-3: Factors of 15302

List of positive integer factors of 15302 that divides 15302 without a remainder.

1, 2, 7, 14, 1093, 2186, 7651

Step-4: Factors of 15318

List of positive integer factors of 15318 that divides 15302 without a remainder.

1, 2, 3, 6, 9, 18, 23, 37, 46, 69, 74, 111, 138, 207, 222, 333, 414, 666, 851, 1702, 2553, 5106, 7659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15302 and 15318. The biggest common factor number is the GCF number.
So the greatest common factor 15302 and 15318 is 2.

Also check out the Least Common Multiple of 15302 and 15318