What is the Greatest Common Factor of 67125 and 67132?

Greatest common factor (GCF) of 67125 and 67132 is 1.

GCF(67125,67132) = 1

We will now calculate the prime factors of 67125 and 67132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67125 and 67132.

How to find the GCF of 67125 and 67132?

We will first find the prime factorization of 67125 and 67132. After we will calculate the factors of 67125 and 67132 and find the biggest common factor number .

Step-1: Prime Factorization of 67125

Prime factors of 67125 are 3, 5, 179. Prime factorization of 67125 in exponential form is:

67125 = 3¹ × 5³ × 179¹

Step-2: Prime Factorization of 67132

Prime factors of 67132 are 2, 13, 1291. Prime factorization of 67132 in exponential form is:

67132 = 2² × 13¹ × 1291¹

Step-3: Factors of 67125

List of positive integer factors of 67125 that divides 67125 without a remainder.

1, 3, 5, 15, 25, 75, 125, 179, 375, 537, 895, 2685, 4475, 13425, 22375

Step-4: Factors of 67132

List of positive integer factors of 67132 that divides 67125 without a remainder.

1, 2, 4, 13, 26, 52, 1291, 2582, 5164, 16783, 33566

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67125 and 67132. The biggest common factor number is the GCF number.
So the greatest common factor 67125 and 67132 is 1.

Also check out the Least Common Multiple of 67125 and 67132