What is the Greatest Common Factor of 67366 and 67379?

Greatest common factor (GCF) of 67366 and 67379 is 13.

GCF(67366,67379) = 13

We will now calculate the prime factors of 67366 and 67379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67366 and 67379.

How to find the GCF of 67366 and 67379?

We will first find the prime factorization of 67366 and 67379. After we will calculate the factors of 67366 and 67379 and find the biggest common factor number .

Step-1: Prime Factorization of 67366

Prime factors of 67366 are 2, 13, 2591. Prime factorization of 67366 in exponential form is:

67366 = 2¹ × 13¹ × 2591¹

Step-2: Prime Factorization of 67379

Prime factors of 67379 are 13, 71, 73. Prime factorization of 67379 in exponential form is:

67379 = 13¹ × 71¹ × 73¹

Step-3: Factors of 67366

List of positive integer factors of 67366 that divides 67366 without a remainder.

1, 2, 13, 26, 2591, 5182, 33683

Step-4: Factors of 67379

List of positive integer factors of 67379 that divides 67366 without a remainder.

1, 13, 71, 73, 923, 949, 5183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67366 and 67379. The biggest common factor number is the GCF number.
So the greatest common factor 67366 and 67379 is 13.

Also check out the Least Common Multiple of 67366 and 67379