What is the Greatest Common Factor of 34920 and 34939?

Greatest common factor (GCF) of 34920 and 34939 is 1.

GCF(34920,34939) = 1

We will now calculate the prime factors of 34920 and 34939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34920 and 34939.

How to find the GCF of 34920 and 34939?

We will first find the prime factorization of 34920 and 34939. After we will calculate the factors of 34920 and 34939 and find the biggest common factor number .

Step-1: Prime Factorization of 34920

Prime factors of 34920 are 2, 3, 5, 97. Prime factorization of 34920 in exponential form is:

34920 = 2³ × 3² × 5¹ × 97¹

Step-2: Prime Factorization of 34939

Prime factors of 34939 are 34939. Prime factorization of 34939 in exponential form is:

34939 = 34939¹

Step-3: Factors of 34920

List of positive integer factors of 34920 that divides 34920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 97, 120, 180, 194, 291, 360, 388, 485, 582, 776, 873, 970, 1164, 1455, 1746, 1940, 2328, 2910, 3492, 3880, 4365, 5820, 6984, 8730, 11640, 17460

Step-4: Factors of 34939

List of positive integer factors of 34939 that divides 34920 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34920 and 34939. The biggest common factor number is the GCF number.
So the greatest common factor 34920 and 34939 is 1.

Also check out the Least Common Multiple of 34920 and 34939