What is the Greatest Common Factor of 29365 and 29380?

Greatest common factor (GCF) of 29365 and 29380 is 5.

GCF(29365,29380) = 5

We will now calculate the prime factors of 29365 and 29380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29365 and 29380.

How to find the GCF of 29365 and 29380?

We will first find the prime factorization of 29365 and 29380. After we will calculate the factors of 29365 and 29380 and find the biggest common factor number .

Step-1: Prime Factorization of 29365

Prime factors of 29365 are 5, 7, 839. Prime factorization of 29365 in exponential form is:

29365 = 5¹ × 7¹ × 839¹

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 29365

List of positive integer factors of 29365 that divides 29365 without a remainder.

1, 5, 7, 35, 839, 4195, 5873

Step-4: Factors of 29380

List of positive integer factors of 29380 that divides 29365 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 29365 and 29380. The biggest common factor number is the GCF number.
So the greatest common factor 29365 and 29380 is 5.

Also check out the Least Common Multiple of 29365 and 29380