What is the Greatest Common Factor of 38496 and 38502?

Greatest common factor (GCF) of 38496 and 38502 is 6.

GCF(38496,38502) = 6

We will now calculate the prime factors of 38496 and 38502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38496 and 38502.

How to find the GCF of 38496 and 38502?

We will first find the prime factorization of 38496 and 38502. After we will calculate the factors of 38496 and 38502 and find the biggest common factor number .

Step-1: Prime Factorization of 38496

Prime factors of 38496 are 2, 3, 401. Prime factorization of 38496 in exponential form is:

38496 = 2⁵ × 3¹ × 401¹

Step-2: 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-3: Factors of 38496

List of positive integer factors of 38496 that divides 38496 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 401, 802, 1203, 1604, 2406, 3208, 4812, 6416, 9624, 12832, 19248

Step-4: Factors of 38502

List of positive integer factors of 38502 that divides 38496 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38496 and 38502. The biggest common factor number is the GCF number.
So the greatest common factor 38496 and 38502 is 6.

Also check out the Least Common Multiple of 38496 and 38502