What is the Greatest Common Factor of 20237 and 20251?

Greatest common factor (GCF) of 20237 and 20251 is 7.

GCF(20237,20251) = 7

We will now calculate the prime factors of 20237 and 20251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20237 and 20251.

How to find the GCF of 20237 and 20251?

We will first find the prime factorization of 20237 and 20251. After we will calculate the factors of 20237 and 20251 and find the biggest common factor number .

Step-1: Prime Factorization of 20237

Prime factors of 20237 are 7, 59. Prime factorization of 20237 in exponential form is:

20237 = 7³ × 59¹

Step-2: Prime Factorization of 20251

Prime factors of 20251 are 7, 11, 263. Prime factorization of 20251 in exponential form is:

20251 = 7¹ × 11¹ × 263¹

Step-3: Factors of 20237

List of positive integer factors of 20237 that divides 20237 without a remainder.

1, 7, 49, 59, 343, 413, 2891

Step-4: Factors of 20251

List of positive integer factors of 20251 that divides 20237 without a remainder.

1, 7, 11, 77, 263, 1841, 2893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20237 and 20251. The biggest common factor number is the GCF number.
So the greatest common factor 20237 and 20251 is 7.

Also check out the Least Common Multiple of 20237 and 20251