What is the Greatest Common Factor of 68140 and 68150?

Greatest common factor (GCF) of 68140 and 68150 is 10.

GCF(68140,68150) = 10

We will now calculate the prime factors of 68140 and 68150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68140 and 68150.

How to find the GCF of 68140 and 68150?

We will first find the prime factorization of 68140 and 68150. After we will calculate the factors of 68140 and 68150 and find the biggest common factor number .

Step-1: Prime Factorization of 68140

Prime factors of 68140 are 2, 5, 3407. Prime factorization of 68140 in exponential form is:

68140 = 2² × 5¹ × 3407¹

Step-2: Prime Factorization of 68150

Prime factors of 68150 are 2, 5, 29, 47. Prime factorization of 68150 in exponential form is:

68150 = 2¹ × 5² × 29¹ × 47¹

Step-3: Factors of 68140

List of positive integer factors of 68140 that divides 68140 without a remainder.

1, 2, 4, 5, 10, 20, 3407, 6814, 13628, 17035, 34070

Step-4: Factors of 68150

List of positive integer factors of 68150 that divides 68140 without a remainder.

1, 2, 5, 10, 25, 29, 47, 50, 58, 94, 145, 235, 290, 470, 725, 1175, 1363, 1450, 2350, 2726, 6815, 13630, 34075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68140 and 68150. The biggest common factor number is the GCF number.
So the greatest common factor 68140 and 68150 is 10.

Also check out the Least Common Multiple of 68140 and 68150