What is the Greatest Common Factor of 29657 and 29674?

Greatest common factor (GCF) of 29657 and 29674 is 1.

GCF(29657,29674) = 1

We will now calculate the prime factors of 29657 and 29674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29657 and 29674.

How to find the GCF of 29657 and 29674?

We will first find the prime factorization of 29657 and 29674. After we will calculate the factors of 29657 and 29674 and find the biggest common factor number .

Step-1: Prime Factorization of 29657

Prime factors of 29657 are 47, 631. Prime factorization of 29657 in exponential form is:

29657 = 47¹ × 631¹

Step-2: Prime Factorization of 29674

Prime factors of 29674 are 2, 37, 401. Prime factorization of 29674 in exponential form is:

29674 = 2¹ × 37¹ × 401¹

Step-3: Factors of 29657

List of positive integer factors of 29657 that divides 29657 without a remainder.

1, 47, 631

Step-4: Factors of 29674

List of positive integer factors of 29674 that divides 29657 without a remainder.

1, 2, 37, 74, 401, 802, 14837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29657 and 29674. The biggest common factor number is the GCF number.
So the greatest common factor 29657 and 29674 is 1.

Also check out the Least Common Multiple of 29657 and 29674