What is the Greatest Common Factor of 29567 and 29580?

Greatest common factor (GCF) of 29567 and 29580 is 1.

GCF(29567,29580) = 1

We will now calculate the prime factors of 29567 and 29580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29567 and 29580.

How to find the GCF of 29567 and 29580?

We will first find the prime factorization of 29567 and 29580. After we will calculate the factors of 29567 and 29580 and find the biggest common factor number .

Step-1: Prime Factorization of 29567

Prime factors of 29567 are 29567. Prime factorization of 29567 in exponential form is:

29567 = 29567¹

Step-2: Prime Factorization of 29580

Prime factors of 29580 are 2, 3, 5, 17, 29. Prime factorization of 29580 in exponential form is:

29580 = 2² × 3¹ × 5¹ × 17¹ × 29¹

Step-3: Factors of 29567

List of positive integer factors of 29567 that divides 29567 without a remainder.

Step-4: Factors of 29580

List of positive integer factors of 29580 that divides 29567 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 29, 30, 34, 51, 58, 60, 68, 85, 87, 102, 116, 145, 170, 174, 204, 255, 290, 340, 348, 435, 493, 510, 580, 870, 986, 1020, 1479, 1740, 1972, 2465, 2958, 4930, 5916, 7395, 9860, 14790

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29567 and 29580. The biggest common factor number is the GCF number.
So the greatest common factor 29567 and 29580 is 1.

Also check out the Least Common Multiple of 29567 and 29580