What is the Greatest Common Factor of 29240 and 29257?

Greatest common factor (GCF) of 29240 and 29257 is 17.

GCF(29240,29257) = 17

We will now calculate the prime factors of 29240 and 29257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29240 and 29257.

How to find the GCF of 29240 and 29257?

We will first find the prime factorization of 29240 and 29257. After we will calculate the factors of 29240 and 29257 and find the biggest common factor number .

Step-1: Prime Factorization of 29240

Prime factors of 29240 are 2, 5, 17, 43. Prime factorization of 29240 in exponential form is:

29240 = 2³ × 5¹ × 17¹ × 43¹

Step-2: Prime Factorization of 29257

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

29257 = 17¹ × 1721¹

Step-3: Factors of 29240

List of positive integer factors of 29240 that divides 29240 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 43, 68, 85, 86, 136, 170, 172, 215, 340, 344, 430, 680, 731, 860, 1462, 1720, 2924, 3655, 5848, 7310, 14620

Step-4: Factors of 29257

List of positive integer factors of 29257 that divides 29240 without a remainder.

1, 17, 1721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29240 and 29257. The biggest common factor number is the GCF number.
So the greatest common factor 29240 and 29257 is 17.

Also check out the Least Common Multiple of 29240 and 29257