What is the Greatest Common Factor of 34140 and 34151?

Greatest common factor (GCF) of 34140 and 34151 is 1.

GCF(34140,34151) = 1

We will now calculate the prime factors of 34140 and 34151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34140 and 34151.

How to find the GCF of 34140 and 34151?

We will first find the prime factorization of 34140 and 34151. After we will calculate the factors of 34140 and 34151 and find the biggest common factor number .

Step-1: Prime Factorization of 34140

Prime factors of 34140 are 2, 3, 5, 569. Prime factorization of 34140 in exponential form is:

34140 = 2² × 3¹ × 5¹ × 569¹

Step-2: Prime Factorization of 34151

Prime factors of 34151 are 13, 37, 71. Prime factorization of 34151 in exponential form is:

34151 = 13¹ × 37¹ × 71¹

Step-3: Factors of 34140

List of positive integer factors of 34140 that divides 34140 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 569, 1138, 1707, 2276, 2845, 3414, 5690, 6828, 8535, 11380, 17070

Step-4: Factors of 34151

List of positive integer factors of 34151 that divides 34140 without a remainder.

1, 13, 37, 71, 481, 923, 2627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34140 and 34151. The biggest common factor number is the GCF number.
So the greatest common factor 34140 and 34151 is 1.

Also check out the Least Common Multiple of 34140 and 34151