What is the Greatest Common Factor of 34892 and 34897?

Greatest common factor (GCF) of 34892 and 34897 is 1.

GCF(34892,34897) = 1

We will now calculate the prime factors of 34892 and 34897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34892 and 34897.

How to find the GCF of 34892 and 34897?

We will first find the prime factorization of 34892 and 34897. After we will calculate the factors of 34892 and 34897 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 34897

Prime factors of 34897 are 34897. Prime factorization of 34897 in exponential form is:

34897 = 34897¹

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 34897

List of positive integer factors of 34897 that divides 34892 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34892 and 34897. The biggest common factor number is the GCF number.
So the greatest common factor 34892 and 34897 is 1.

Also check out the Least Common Multiple of 34892 and 34897