What is the Greatest Common Factor of 56231 and 56238?

Greatest common factor (GCF) of 56231 and 56238 is 7.

GCF(56231,56238) = 7

We will now calculate the prime factors of 56231 and 56238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56231 and 56238.

How to find the GCF of 56231 and 56238?

We will first find the prime factorization of 56231 and 56238. After we will calculate the factors of 56231 and 56238 and find the biggest common factor number .

Step-1: Prime Factorization of 56231

Prime factors of 56231 are 7, 29, 277. Prime factorization of 56231 in exponential form is:

56231 = 7¹ × 29¹ × 277¹

Step-2: Prime Factorization of 56238

Prime factors of 56238 are 2, 3, 7, 13, 103. Prime factorization of 56238 in exponential form is:

56238 = 2¹ × 3¹ × 7¹ × 13¹ × 103¹

Step-3: Factors of 56231

List of positive integer factors of 56231 that divides 56231 without a remainder.

1, 7, 29, 203, 277, 1939, 8033

Step-4: Factors of 56238

List of positive integer factors of 56238 that divides 56231 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 103, 182, 206, 273, 309, 546, 618, 721, 1339, 1442, 2163, 2678, 4017, 4326, 8034, 9373, 18746, 28119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56231 and 56238. The biggest common factor number is the GCF number.
So the greatest common factor 56231 and 56238 is 7.

Also check out the Least Common Multiple of 56231 and 56238