What is the Greatest Common Factor of 56238 and 56252?

Greatest common factor (GCF) of 56238 and 56252 is 14.

GCF(56238,56252) = 14

We will now calculate the prime factors of 56238 and 56252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56238 and 56252.

How to find the GCF of 56238 and 56252?

We will first find the prime factorization of 56238 and 56252. After we will calculate the factors of 56238 and 56252 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56252

Prime factors of 56252 are 2, 7, 41. Prime factorization of 56252 in exponential form is:

56252 = 2² × 7³ × 41¹

Step-3: Factors of 56238

List of positive integer factors of 56238 that divides 56238 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

Step-4: Factors of 56252

List of positive integer factors of 56252 that divides 56238 without a remainder.

1, 2, 4, 7, 14, 28, 41, 49, 82, 98, 164, 196, 287, 343, 574, 686, 1148, 1372, 2009, 4018, 8036, 14063, 28126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56238 and 56252. The biggest common factor number is the GCF number.
So the greatest common factor 56238 and 56252 is 14.

Also check out the Least Common Multiple of 56238 and 56252