What is the Greatest Common Factor of 67364 and 67375?

Greatest common factor (GCF) of 67364 and 67375 is 11.

GCF(67364,67375) = 11

We will now calculate the prime factors of 67364 and 67375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67364 and 67375.

How to find the GCF of 67364 and 67375?

We will first find the prime factorization of 67364 and 67375. After we will calculate the factors of 67364 and 67375 and find the biggest common factor number .

Step-1: Prime Factorization of 67364

Prime factors of 67364 are 2, 11, 1531. Prime factorization of 67364 in exponential form is:

67364 = 2² × 11¹ × 1531¹

Step-2: Prime Factorization of 67375

Prime factors of 67375 are 5, 7, 11. Prime factorization of 67375 in exponential form is:

67375 = 5³ × 7² × 11¹

Step-3: Factors of 67364

List of positive integer factors of 67364 that divides 67364 without a remainder.

1, 2, 4, 11, 22, 44, 1531, 3062, 6124, 16841, 33682

Step-4: Factors of 67375

List of positive integer factors of 67375 that divides 67364 without a remainder.

1, 5, 7, 11, 25, 35, 49, 55, 77, 125, 175, 245, 275, 385, 539, 875, 1225, 1375, 1925, 2695, 6125, 9625, 13475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67364 and 67375. The biggest common factor number is the GCF number.
So the greatest common factor 67364 and 67375 is 11.

Also check out the Least Common Multiple of 67364 and 67375