What is the Greatest Common Factor of 38502 and 38518?

Greatest common factor (GCF) of 38502 and 38518 is 2.

GCF(38502,38518) = 2

We will now calculate the prime factors of 38502 and 38518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38502 and 38518.

How to find the GCF of 38502 and 38518?

We will first find the prime factorization of 38502 and 38518. After we will calculate the factors of 38502 and 38518 and find the biggest common factor number .

Step-1: Prime Factorization of 38502

Prime factors of 38502 are 2, 3, 23, 31. Prime factorization of 38502 in exponential form is:

38502 = 2¹ × 3³ × 23¹ × 31¹

Step-2: Prime Factorization of 38518

Prime factors of 38518 are 2, 19259. Prime factorization of 38518 in exponential form is:

38518 = 2¹ × 19259¹

Step-3: Factors of 38502

List of positive integer factors of 38502 that divides 38502 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 31, 46, 54, 62, 69, 93, 138, 186, 207, 279, 414, 558, 621, 713, 837, 1242, 1426, 1674, 2139, 4278, 6417, 12834, 19251

Step-4: Factors of 38518

List of positive integer factors of 38518 that divides 38502 without a remainder.

1, 2, 19259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38502 and 38518. The biggest common factor number is the GCF number.
So the greatest common factor 38502 and 38518 is 2.

Also check out the Least Common Multiple of 38502 and 38518