What is the Greatest Common Factor of 34879 and 34892?

Greatest common factor (GCF) of 34879 and 34892 is 13.

GCF(34879,34892) = 13

We will now calculate the prime factors of 34879 and 34892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34879 and 34892.

How to find the GCF of 34879 and 34892?

We will first find the prime factorization of 34879 and 34892. After we will calculate the factors of 34879 and 34892 and find the biggest common factor number .

Step-1: Prime Factorization of 34879

Prime factors of 34879 are 13, 2683. Prime factorization of 34879 in exponential form is:

34879 = 13¹ × 2683¹

Step-2: 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-3: Factors of 34879

List of positive integer factors of 34879 that divides 34879 without a remainder.

1, 13, 2683

Step-4: Factors of 34892

List of positive integer factors of 34892 that divides 34879 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34879 and 34892. The biggest common factor number is the GCF number.
So the greatest common factor 34879 and 34892 is 13.

Also check out the Least Common Multiple of 34879 and 34892