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What is the Greatest Common Factor of 34902 and 34922?

Greatest common factor (GCF) of 34902 and 34922 is 2.

GCF(34902,34922) = 2

We will now calculate the prime factors of 34902 and 34922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34902 and 34922.

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How to find the GCF of 34902 and 34922?

We will first find the prime factorization of 34902 and 34922. After we will calculate the factors of 34902 and 34922 and find the biggest common factor number .

Step-1: Prime Factorization of 34902

Prime factors of 34902 are 2, 3, 7, 277. Prime factorization of 34902 in exponential form is:

34902 = 21 × 32 × 71 × 2771

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 34902

List of positive integer factors of 34902 that divides 34902 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 277, 554, 831, 1662, 1939, 2493, 3878, 4986, 5817, 11634, 17451

Step-4: Factors of 34922

List of positive integer factors of 34922 that divides 34902 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34902 and 34922. The biggest common factor number is the GCF number.
So the greatest common factor 34902 and 34922 is 2.

Also check out the Least Common Multiple of 34902 and 34922