What is the Greatest Common Factor of 34102 and 34109?

Greatest common factor (GCF) of 34102 and 34109 is 1.

GCF(34102,34109) = 1

We will now calculate the prime factors of 34102 and 34109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34102 and 34109.

How to find the GCF of 34102 and 34109?

We will first find the prime factorization of 34102 and 34109. After we will calculate the factors of 34102 and 34109 and find the biggest common factor number .

Step-1: Prime Factorization of 34102

Prime factors of 34102 are 2, 17, 59. Prime factorization of 34102 in exponential form is:

34102 = 2¹ × 17² × 59¹

Step-2: Prime Factorization of 34109

Prime factors of 34109 are 23, 1483. Prime factorization of 34109 in exponential form is:

34109 = 23¹ × 1483¹

Step-3: Factors of 34102

List of positive integer factors of 34102 that divides 34102 without a remainder.

1, 2, 17, 34, 59, 118, 289, 578, 1003, 2006, 17051

Step-4: Factors of 34109

List of positive integer factors of 34109 that divides 34102 without a remainder.

1, 23, 1483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34102 and 34109. The biggest common factor number is the GCF number.
So the greatest common factor 34102 and 34109 is 1.

Also check out the Least Common Multiple of 34102 and 34109