What is the Greatest Common Factor of 29309 and 29325?

Greatest common factor (GCF) of 29309 and 29325 is 1.

GCF(29309,29325) = 1

We will now calculate the prime factors of 29309 and 29325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29309 and 29325.

How to find the GCF of 29309 and 29325?

We will first find the prime factorization of 29309 and 29325. After we will calculate the factors of 29309 and 29325 and find the biggest common factor number .

Step-1: Prime Factorization of 29309

Prime factors of 29309 are 7, 53, 79. Prime factorization of 29309 in exponential form is:

29309 = 7¹ × 53¹ × 79¹

Step-2: Prime Factorization of 29325

Prime factors of 29325 are 3, 5, 17, 23. Prime factorization of 29325 in exponential form is:

29325 = 3¹ × 5² × 17¹ × 23¹

Step-3: Factors of 29309

List of positive integer factors of 29309 that divides 29309 without a remainder.

1, 7, 53, 79, 371, 553, 4187

Step-4: Factors of 29325

List of positive integer factors of 29325 that divides 29309 without a remainder.

1, 3, 5, 15, 17, 23, 25, 51, 69, 75, 85, 115, 255, 345, 391, 425, 575, 1173, 1275, 1725, 1955, 5865, 9775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29309 and 29325. The biggest common factor number is the GCF number.
So the greatest common factor 29309 and 29325 is 1.

Also check out the Least Common Multiple of 29309 and 29325