What is the Greatest Common Factor of 34914 and 34927?

Greatest common factor (GCF) of 34914 and 34927 is 1.

GCF(34914,34927) = 1

We will now calculate the prime factors of 34914 and 34927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34914 and 34927.

How to find the GCF of 34914 and 34927?

We will first find the prime factorization of 34914 and 34927. After we will calculate the factors of 34914 and 34927 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 34927

Prime factors of 34927 are 53, 659. Prime factorization of 34927 in exponential form is:

34927 = 53¹ × 659¹

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 34927

List of positive integer factors of 34927 that divides 34914 without a remainder.

1, 53, 659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34914 and 34927. The biggest common factor number is the GCF number.
So the greatest common factor 34914 and 34927 is 1.

Also check out the Least Common Multiple of 34914 and 34927