What is the Greatest Common Factor of 34916 and 34925?

Greatest common factor (GCF) of 34916 and 34925 is 1.

GCF(34916,34925) = 1

We will now calculate the prime factors of 34916 and 34925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34916 and 34925.

How to find the GCF of 34916 and 34925?

We will first find the prime factorization of 34916 and 34925. After we will calculate the factors of 34916 and 34925 and find the biggest common factor number .

Step-1: Prime Factorization of 34916

Prime factors of 34916 are 2, 7, 29, 43. Prime factorization of 34916 in exponential form is:

34916 = 2² × 7¹ × 29¹ × 43¹

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 34916

List of positive integer factors of 34916 that divides 34916 without a remainder.

1, 2, 4, 7, 14, 28, 29, 43, 58, 86, 116, 172, 203, 301, 406, 602, 812, 1204, 1247, 2494, 4988, 8729, 17458

Step-4: Factors of 34925

List of positive integer factors of 34925 that divides 34916 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 34916 and 34925. The biggest common factor number is the GCF number.
So the greatest common factor 34916 and 34925 is 1.

Also check out the Least Common Multiple of 34916 and 34925