What is the Greatest Common Factor of 29367 and 29380?

Greatest common factor (GCF) of 29367 and 29380 is 13.

GCF(29367,29380) = 13

We will now calculate the prime factors of 29367 and 29380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29367 and 29380.

How to find the GCF of 29367 and 29380?

We will first find the prime factorization of 29367 and 29380. After we will calculate the factors of 29367 and 29380 and find the biggest common factor number .

Step-1: Prime Factorization of 29367

Prime factors of 29367 are 3, 13, 251. Prime factorization of 29367 in exponential form is:

29367 = 3² × 13¹ × 251¹

Step-2: Prime Factorization of 29380

Prime factors of 29380 are 2, 5, 13, 113. Prime factorization of 29380 in exponential form is:

29380 = 2² × 5¹ × 13¹ × 113¹

Step-3: Factors of 29367

List of positive integer factors of 29367 that divides 29367 without a remainder.

1, 3, 9, 13, 39, 117, 251, 753, 2259, 3263, 9789

Step-4: Factors of 29380

List of positive integer factors of 29380 that divides 29367 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 113, 130, 226, 260, 452, 565, 1130, 1469, 2260, 2938, 5876, 7345, 14690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29367 and 29380. The biggest common factor number is the GCF number.
So the greatest common factor 29367 and 29380 is 13.

Also check out the Least Common Multiple of 29367 and 29380