What is the Greatest Common Factor of 34914 and 34924?

Greatest common factor (GCF) of 34914 and 34924 is 2.

GCF(34914,34924) = 2

We will now calculate the prime factors of 34914 and 34924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34914 and 34924.

How to find the GCF of 34914 and 34924?

We will first find the prime factorization of 34914 and 34924. After we will calculate the factors of 34914 and 34924 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 34924

Prime factors of 34924 are 2, 8731. Prime factorization of 34924 in exponential form is:

34924 = 2² × 8731¹

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 34924

List of positive integer factors of 34924 that divides 34914 without a remainder.

1, 2, 4, 8731, 17462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34914 and 34924. The biggest common factor number is the GCF number.
So the greatest common factor 34914 and 34924 is 2.

Also check out the Least Common Multiple of 34914 and 34924