What is the Greatest Common Factor of 34916 and 34922?

Greatest common factor (GCF) of 34916 and 34922 is 2.

GCF(34916,34922) = 2

We will now calculate the prime factors of 34916 and 34922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34916 and 34922.

How to find the GCF of 34916 and 34922?

We will first find the prime factorization of 34916 and 34922. After we will calculate the factors of 34916 and 34922 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 34922

Prime factors of 34922 are 2, 19, 919. Prime factorization of 34922 in exponential form is:

34922 = 2¹ × 19¹ × 919¹

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 34922

List of positive integer factors of 34922 that divides 34916 without a remainder.

1, 2, 19, 38, 919, 1838, 17461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34916 and 34922. The biggest common factor number is the GCF number.
So the greatest common factor 34916 and 34922 is 2.

Also check out the Least Common Multiple of 34916 and 34922