What is the Greatest Common Factor of 29607 and 29617?

Greatest common factor (GCF) of 29607 and 29617 is 1.

GCF(29607,29617) = 1

We will now calculate the prime factors of 29607 and 29617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29607 and 29617.

How to find the GCF of 29607 and 29617?

We will first find the prime factorization of 29607 and 29617. After we will calculate the factors of 29607 and 29617 and find the biggest common factor number .

Step-1: Prime Factorization of 29607

Prime factors of 29607 are 3, 71, 139. Prime factorization of 29607 in exponential form is:

29607 = 3¹ × 71¹ × 139¹

Step-2: Prime Factorization of 29617

Prime factors of 29617 are 7, 4231. Prime factorization of 29617 in exponential form is:

29617 = 7¹ × 4231¹

Step-3: Factors of 29607

List of positive integer factors of 29607 that divides 29607 without a remainder.

1, 3, 71, 139, 213, 417, 9869

Step-4: Factors of 29617

List of positive integer factors of 29617 that divides 29607 without a remainder.

1, 7, 4231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29607 and 29617. The biggest common factor number is the GCF number.
So the greatest common factor 29607 and 29617 is 1.

Also check out the Least Common Multiple of 29607 and 29617