What is the Greatest Common Factor of 34925 and 34938?

Greatest common factor (GCF) of 34925 and 34938 is 1.

GCF(34925,34938) = 1

We will now calculate the prime factors of 34925 and 34938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34925 and 34938.

How to find the GCF of 34925 and 34938?

We will first find the prime factorization of 34925 and 34938. After we will calculate the factors of 34925 and 34938 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34938

Prime factors of 34938 are 2, 3, 647. Prime factorization of 34938 in exponential form is:

34938 = 2¹ × 3³ × 647¹

Step-3: Factors of 34925

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

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

Step-4: Factors of 34938

List of positive integer factors of 34938 that divides 34925 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 647, 1294, 1941, 3882, 5823, 11646, 17469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34925 and 34938. The biggest common factor number is the GCF number.
So the greatest common factor 34925 and 34938 is 1.

Also check out the Least Common Multiple of 34925 and 34938