What is the Greatest Common Factor of 34340 and 34349?

Greatest common factor (GCF) of 34340 and 34349 is 1.

GCF(34340,34349) = 1

We will now calculate the prime factors of 34340 and 34349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34340 and 34349.

How to find the GCF of 34340 and 34349?

We will first find the prime factorization of 34340 and 34349. After we will calculate the factors of 34340 and 34349 and find the biggest common factor number .

Step-1: Prime Factorization of 34340

Prime factors of 34340 are 2, 5, 17, 101. Prime factorization of 34340 in exponential form is:

34340 = 2² × 5¹ × 17¹ × 101¹

Step-2: Prime Factorization of 34349

Prime factors of 34349 are 7, 701. Prime factorization of 34349 in exponential form is:

34349 = 7² × 701¹

Step-3: Factors of 34340

List of positive integer factors of 34340 that divides 34340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 101, 170, 202, 340, 404, 505, 1010, 1717, 2020, 3434, 6868, 8585, 17170

Step-4: Factors of 34349

List of positive integer factors of 34349 that divides 34340 without a remainder.

1, 7, 49, 701, 4907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34340 and 34349. The biggest common factor number is the GCF number.
So the greatest common factor 34340 and 34349 is 1.

Also check out the Least Common Multiple of 34340 and 34349