What is the Greatest Common Factor of 67135 and 67150?

Greatest common factor (GCF) of 67135 and 67150 is 5.

GCF(67135,67150) = 5

We will now calculate the prime factors of 67135 and 67150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67135 and 67150.

How to find the GCF of 67135 and 67150?

We will first find the prime factorization of 67135 and 67150. After we will calculate the factors of 67135 and 67150 and find the biggest common factor number .

Step-1: Prime Factorization of 67135

Prime factors of 67135 are 5, 29, 463. Prime factorization of 67135 in exponential form is:

67135 = 5¹ × 29¹ × 463¹

Step-2: Prime Factorization of 67150

Prime factors of 67150 are 2, 5, 17, 79. Prime factorization of 67150 in exponential form is:

67150 = 2¹ × 5² × 17¹ × 79¹

Step-3: Factors of 67135

List of positive integer factors of 67135 that divides 67135 without a remainder.

1, 5, 29, 145, 463, 2315, 13427

Step-4: Factors of 67150

List of positive integer factors of 67150 that divides 67135 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 79, 85, 158, 170, 395, 425, 790, 850, 1343, 1975, 2686, 3950, 6715, 13430, 33575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67135 and 67150. The biggest common factor number is the GCF number.
So the greatest common factor 67135 and 67150 is 5.

Also check out the Least Common Multiple of 67135 and 67150