What is the Greatest Common Factor of 34892 and 34898?

Greatest common factor (GCF) of 34892 and 34898 is 2.

GCF(34892,34898) = 2

We will now calculate the prime factors of 34892 and 34898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34892 and 34898.

How to find the GCF of 34892 and 34898?

We will first find the prime factorization of 34892 and 34898. After we will calculate the factors of 34892 and 34898 and find the biggest common factor number .

Step-1: Prime Factorization of 34892

Prime factors of 34892 are 2, 11, 13, 61. Prime factorization of 34892 in exponential form is:

34892 = 2² × 11¹ × 13¹ × 61¹

Step-2: Prime Factorization of 34898

Prime factors of 34898 are 2, 17449. Prime factorization of 34898 in exponential form is:

34898 = 2¹ × 17449¹

Step-3: Factors of 34892

List of positive integer factors of 34892 that divides 34892 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 61, 122, 143, 244, 286, 572, 671, 793, 1342, 1586, 2684, 3172, 8723, 17446

Step-4: Factors of 34898

List of positive integer factors of 34898 that divides 34892 without a remainder.

1, 2, 17449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34892 and 34898. The biggest common factor number is the GCF number.
So the greatest common factor 34892 and 34898 is 2.

Also check out the Least Common Multiple of 34892 and 34898