What is the Greatest Common Factor of 34105 and 34125?

Greatest common factor (GCF) of 34105 and 34125 is 5.

GCF(34105,34125) = 5

We will now calculate the prime factors of 34105 and 34125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34105 and 34125.

How to find the GCF of 34105 and 34125?

We will first find the prime factorization of 34105 and 34125. After we will calculate the factors of 34105 and 34125 and find the biggest common factor number .

Step-1: Prime Factorization of 34105

Prime factors of 34105 are 5, 19, 359. Prime factorization of 34105 in exponential form is:

34105 = 5¹ × 19¹ × 359¹

Step-2: Prime Factorization of 34125

Prime factors of 34125 are 3, 5, 7, 13. Prime factorization of 34125 in exponential form is:

34125 = 3¹ × 5³ × 7¹ × 13¹

Step-3: Factors of 34105

List of positive integer factors of 34105 that divides 34105 without a remainder.

1, 5, 19, 95, 359, 1795, 6821

Step-4: Factors of 34125

List of positive integer factors of 34125 that divides 34105 without a remainder.

1, 3, 5, 7, 13, 15, 21, 25, 35, 39, 65, 75, 91, 105, 125, 175, 195, 273, 325, 375, 455, 525, 875, 975, 1365, 1625, 2275, 2625, 4875, 6825, 11375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34105 and 34125. The biggest common factor number is the GCF number.
So the greatest common factor 34105 and 34125 is 5.

Also check out the Least Common Multiple of 34105 and 34125