What is the Greatest Common Factor of 25211 and 25228?

Greatest common factor (GCF) of 25211 and 25228 is 17.

GCF(25211,25228) = 17

We will now calculate the prime factors of 25211 and 25228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25211 and 25228.

How to find the GCF of 25211 and 25228?

We will first find the prime factorization of 25211 and 25228. After we will calculate the factors of 25211 and 25228 and find the biggest common factor number .

Step-1: Prime Factorization of 25211

Prime factors of 25211 are 17, 1483. Prime factorization of 25211 in exponential form is:

25211 = 17¹ × 1483¹

Step-2: Prime Factorization of 25228

Prime factors of 25228 are 2, 7, 17, 53. Prime factorization of 25228 in exponential form is:

25228 = 2² × 7¹ × 17¹ × 53¹

Step-3: Factors of 25211

List of positive integer factors of 25211 that divides 25211 without a remainder.

1, 17, 1483

Step-4: Factors of 25228

List of positive integer factors of 25228 that divides 25211 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 53, 68, 106, 119, 212, 238, 371, 476, 742, 901, 1484, 1802, 3604, 6307, 12614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25211 and 25228. The biggest common factor number is the GCF number.
So the greatest common factor 25211 and 25228 is 17.

Also check out the Least Common Multiple of 25211 and 25228