What is the Greatest Common Factor of 34937 and 34949?

Greatest common factor (GCF) of 34937 and 34949 is 1.

GCF(34937,34949) = 1

We will now calculate the prime factors of 34937 and 34949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34937 and 34949.

How to find the GCF of 34937 and 34949?

We will first find the prime factorization of 34937 and 34949. After we will calculate the factors of 34937 and 34949 and find the biggest common factor number .

Step-1: Prime Factorization of 34937

Prime factors of 34937 are 7, 23, 31. Prime factorization of 34937 in exponential form is:

34937 = 7² × 23¹ × 31¹

Step-2: Prime Factorization of 34949

Prime factors of 34949 are 34949. Prime factorization of 34949 in exponential form is:

34949 = 34949¹

Step-3: Factors of 34937

List of positive integer factors of 34937 that divides 34937 without a remainder.

1, 7, 23, 31, 49, 161, 217, 713, 1127, 1519, 4991

Step-4: Factors of 34949

List of positive integer factors of 34949 that divides 34937 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34937 and 34949. The biggest common factor number is the GCF number.
So the greatest common factor 34937 and 34949 is 1.

Also check out the Least Common Multiple of 34937 and 34949