What is the Greatest Common Factor of 29257 and 29274?

Greatest common factor (GCF) of 29257 and 29274 is 17.

GCF(29257,29274) = 17

We will now calculate the prime factors of 29257 and 29274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29257 and 29274.

How to find the GCF of 29257 and 29274?

We will first find the prime factorization of 29257 and 29274. After we will calculate the factors of 29257 and 29274 and find the biggest common factor number .

Step-1: Prime Factorization of 29257

Prime factors of 29257 are 17, 1721. Prime factorization of 29257 in exponential form is:

29257 = 17¹ × 1721¹

Step-2: Prime Factorization of 29274

Prime factors of 29274 are 2, 3, 7, 17, 41. Prime factorization of 29274 in exponential form is:

29274 = 2¹ × 3¹ × 7¹ × 17¹ × 41¹

Step-3: Factors of 29257

List of positive integer factors of 29257 that divides 29257 without a remainder.

1, 17, 1721

Step-4: Factors of 29274

List of positive integer factors of 29274 that divides 29257 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 41, 42, 51, 82, 102, 119, 123, 238, 246, 287, 357, 574, 697, 714, 861, 1394, 1722, 2091, 4182, 4879, 9758, 14637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29257 and 29274. The biggest common factor number is the GCF number.
So the greatest common factor 29257 and 29274 is 17.

Also check out the Least Common Multiple of 29257 and 29274