What is the Greatest Common Factor of 34790 and 34804?

Greatest common factor (GCF) of 34790 and 34804 is 14.

GCF(34790,34804) = 14

We will now calculate the prime factors of 34790 and 34804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34790 and 34804.

How to find the GCF of 34790 and 34804?

We will first find the prime factorization of 34790 and 34804. After we will calculate the factors of 34790 and 34804 and find the biggest common factor number .

Step-1: Prime Factorization of 34790

Prime factors of 34790 are 2, 5, 7, 71. Prime factorization of 34790 in exponential form is:

34790 = 2¹ × 5¹ × 7² × 71¹

Step-2: Prime Factorization of 34804

Prime factors of 34804 are 2, 7, 11, 113. Prime factorization of 34804 in exponential form is:

34804 = 2² × 7¹ × 11¹ × 113¹

Step-3: Factors of 34790

List of positive integer factors of 34790 that divides 34790 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 71, 98, 142, 245, 355, 490, 497, 710, 994, 2485, 3479, 4970, 6958, 17395

Step-4: Factors of 34804

List of positive integer factors of 34804 that divides 34790 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 113, 154, 226, 308, 452, 791, 1243, 1582, 2486, 3164, 4972, 8701, 17402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34790 and 34804. The biggest common factor number is the GCF number.
So the greatest common factor 34790 and 34804 is 14.

Also check out the Least Common Multiple of 34790 and 34804