What is the Greatest Common Factor of 29260 and 29272?

Greatest common factor (GCF) of 29260 and 29272 is 4.

GCF(29260,29272) = 4

We will now calculate the prime factors of 29260 and 29272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29260 and 29272.

How to find the GCF of 29260 and 29272?

We will first find the prime factorization of 29260 and 29272. After we will calculate the factors of 29260 and 29272 and find the biggest common factor number .

Step-1: Prime Factorization of 29260

Prime factors of 29260 are 2, 5, 7, 11, 19. Prime factorization of 29260 in exponential form is:

29260 = 2² × 5¹ × 7¹ × 11¹ × 19¹

Step-2: Prime Factorization of 29272

Prime factors of 29272 are 2, 3659. Prime factorization of 29272 in exponential form is:

29272 = 2³ × 3659¹

Step-3: Factors of 29260

List of positive integer factors of 29260 that divides 29260 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 19, 20, 22, 28, 35, 38, 44, 55, 70, 76, 77, 95, 110, 133, 140, 154, 190, 209, 220, 266, 308, 380, 385, 418, 532, 665, 770, 836, 1045, 1330, 1463, 1540, 2090, 2660, 2926, 4180, 5852, 7315, 14630

Step-4: Factors of 29272

List of positive integer factors of 29272 that divides 29260 without a remainder.

1, 2, 4, 8, 3659, 7318, 14636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29260 and 29272. The biggest common factor number is the GCF number.
So the greatest common factor 29260 and 29272 is 4.

Also check out the Least Common Multiple of 29260 and 29272