What is the Greatest Common Factor of 29938 and 29947?

Greatest common factor (GCF) of 29938 and 29947 is 1.

GCF(29938,29947) = 1

We will now calculate the prime factors of 29938 and 29947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29938 and 29947.

How to find the GCF of 29938 and 29947?

We will first find the prime factorization of 29938 and 29947. After we will calculate the factors of 29938 and 29947 and find the biggest common factor number .

Step-1: Prime Factorization of 29938

Prime factors of 29938 are 2, 14969. Prime factorization of 29938 in exponential form is:

29938 = 2¹ × 14969¹

Step-2: Prime Factorization of 29947

Prime factors of 29947 are 29947. Prime factorization of 29947 in exponential form is:

29947 = 29947¹

Step-3: Factors of 29938

List of positive integer factors of 29938 that divides 29938 without a remainder.

1, 2, 14969

Step-4: Factors of 29947

List of positive integer factors of 29947 that divides 29938 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29938 and 29947. The biggest common factor number is the GCF number.
So the greatest common factor 29938 and 29947 is 1.

Also check out the Least Common Multiple of 29938 and 29947