What is the Greatest Common Factor of 34902 and 34909?

Greatest common factor (GCF) of 34902 and 34909 is 7.

GCF(34902,34909) = 7

We will now calculate the prime factors of 34902 and 34909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34902 and 34909.

How to find the GCF of 34902 and 34909?

We will first find the prime factorization of 34902 and 34909. After we will calculate the factors of 34902 and 34909 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 34909

Prime factors of 34909 are 7, 4987. Prime factorization of 34909 in exponential form is:

34909 = 7¹ × 4987¹

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 34909

List of positive integer factors of 34909 that divides 34902 without a remainder.

1, 7, 4987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34902 and 34909. The biggest common factor number is the GCF number.
So the greatest common factor 34902 and 34909 is 7.

Also check out the Least Common Multiple of 34902 and 34909