What is the Greatest Common Factor of 38240 and 38251?

Greatest common factor (GCF) of 38240 and 38251 is 1.

GCF(38240,38251) = 1

We will now calculate the prime factors of 38240 and 38251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38240 and 38251.

How to find the GCF of 38240 and 38251?

We will first find the prime factorization of 38240 and 38251. After we will calculate the factors of 38240 and 38251 and find the biggest common factor number .

Step-1: Prime Factorization of 38240

Prime factors of 38240 are 2, 5, 239. Prime factorization of 38240 in exponential form is:

38240 = 2⁵ × 5¹ × 239¹

Step-2: Prime Factorization of 38251

Prime factors of 38251 are 29, 1319. Prime factorization of 38251 in exponential form is:

38251 = 29¹ × 1319¹

Step-3: Factors of 38240

List of positive integer factors of 38240 that divides 38240 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 239, 478, 956, 1195, 1912, 2390, 3824, 4780, 7648, 9560, 19120

Step-4: Factors of 38251

List of positive integer factors of 38251 that divides 38240 without a remainder.

1, 29, 1319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38240 and 38251. The biggest common factor number is the GCF number.
So the greatest common factor 38240 and 38251 is 1.

Also check out the Least Common Multiple of 38240 and 38251