What is the Greatest Common Factor of 34920 and 34925?

Greatest common factor (GCF) of 34920 and 34925 is 5.

GCF(34920,34925) = 5

We will now calculate the prime factors of 34920 and 34925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34920 and 34925.

How to find the GCF of 34920 and 34925?

We will first find the prime factorization of 34920 and 34925. After we will calculate the factors of 34920 and 34925 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 34925

Prime factors of 34925 are 5, 11, 127. Prime factorization of 34925 in exponential form is:

34925 = 5² × 11¹ × 127¹

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 34925

List of positive integer factors of 34925 that divides 34920 without a remainder.

1, 5, 11, 25, 55, 127, 275, 635, 1397, 3175, 6985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34920 and 34925. The biggest common factor number is the GCF number.
So the greatest common factor 34920 and 34925 is 5.

Also check out the Least Common Multiple of 34920 and 34925