What is the Greatest Common Factor of 38220 and 38231?

Greatest common factor (GCF) of 38220 and 38231 is 1.

GCF(38220,38231) = 1

We will now calculate the prime factors of 38220 and 38231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38220 and 38231.

How to find the GCF of 38220 and 38231?

We will first find the prime factorization of 38220 and 38231. After we will calculate the factors of 38220 and 38231 and find the biggest common factor number .

Step-1: Prime Factorization of 38220

Prime factors of 38220 are 2, 3, 5, 7, 13. Prime factorization of 38220 in exponential form is:

38220 = 2² × 3¹ × 5¹ × 7² × 13¹

Step-2: Prime Factorization of 38231

Prime factors of 38231 are 38231. Prime factorization of 38231 in exponential form is:

38231 = 38231¹

Step-3: Factors of 38220

List of positive integer factors of 38220 that divides 38220 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 49, 52, 60, 65, 70, 78, 84, 91, 98, 105, 130, 140, 147, 156, 182, 195, 196, 210, 245, 260, 273, 294, 364, 390, 420, 455, 490, 546, 588, 637, 735, 780, 910, 980, 1092, 1274, 1365, 1470, 1820, 1911, 2548, 2730, 2940, 3185, 3822, 5460, 6370, 7644, 9555, 12740, 19110

Step-4: Factors of 38231

List of positive integer factors of 38231 that divides 38220 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38220 and 38231. The biggest common factor number is the GCF number.
So the greatest common factor 38220 and 38231 is 1.

Also check out the Least Common Multiple of 38220 and 38231