What is the Greatest Common Factor of 29272 and 29292?

Greatest common factor (GCF) of 29272 and 29292 is 4.

GCF(29272,29292) = 4

We will now calculate the prime factors of 29272 and 29292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29272 and 29292.

How to find the GCF of 29272 and 29292?

We will first find the prime factorization of 29272 and 29292. After we will calculate the factors of 29272 and 29292 and find the biggest common factor number .

Step-1: Prime Factorization of 29272

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

29272 = 2³ × 3659¹

Step-2: Prime Factorization of 29292

Prime factors of 29292 are 2, 3, 2441. Prime factorization of 29292 in exponential form is:

29292 = 2² × 3¹ × 2441¹

Step-3: Factors of 29272

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

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

Step-4: Factors of 29292

List of positive integer factors of 29292 that divides 29272 without a remainder.

1, 2, 3, 4, 6, 12, 2441, 4882, 7323, 9764, 14646

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29272 and 29292. The biggest common factor number is the GCF number.
So the greatest common factor 29272 and 29292 is 4.

Also check out the Least Common Multiple of 29272 and 29292