What is the Greatest Common Factor of 34914 and 34925?

Greatest common factor (GCF) of 34914 and 34925 is 11.

GCF(34914,34925) = 11

We will now calculate the prime factors of 34914 and 34925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34914 and 34925.

How to find the GCF of 34914 and 34925?

We will first find the prime factorization of 34914 and 34925. After we will calculate the factors of 34914 and 34925 and find the biggest common factor number .

Step-1: Prime Factorization of 34914

Prime factors of 34914 are 2, 3, 11, 23. Prime factorization of 34914 in exponential form is:

34914 = 2¹ × 3¹ × 11¹ × 23²

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 34914

List of positive integer factors of 34914 that divides 34914 without a remainder.

1, 2, 3, 6, 11, 22, 23, 33, 46, 66, 69, 138, 253, 506, 529, 759, 1058, 1518, 1587, 3174, 5819, 11638, 17457

Step-4: Factors of 34925

List of positive integer factors of 34925 that divides 34914 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 34914 and 34925. The biggest common factor number is the GCF number.
So the greatest common factor 34914 and 34925 is 11.

Also check out the Least Common Multiple of 34914 and 34925