What is the Greatest Common Factor of 67327 and 67340?

Greatest common factor (GCF) of 67327 and 67340 is 13.

GCF(67327,67340) = 13

We will now calculate the prime factors of 67327 and 67340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67327 and 67340.

How to find the GCF of 67327 and 67340?

We will first find the prime factorization of 67327 and 67340. After we will calculate the factors of 67327 and 67340 and find the biggest common factor number .

Step-1: Prime Factorization of 67327

Prime factors of 67327 are 13, 5179. Prime factorization of 67327 in exponential form is:

67327 = 13¹ × 5179¹

Step-2: Prime Factorization of 67340

Prime factors of 67340 are 2, 5, 7, 13, 37. Prime factorization of 67340 in exponential form is:

67340 = 2² × 5¹ × 7¹ × 13¹ × 37¹

Step-3: Factors of 67327

List of positive integer factors of 67327 that divides 67327 without a remainder.

1, 13, 5179

Step-4: Factors of 67340

List of positive integer factors of 67340 that divides 67327 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 37, 52, 65, 70, 74, 91, 130, 140, 148, 182, 185, 259, 260, 364, 370, 455, 481, 518, 740, 910, 962, 1036, 1295, 1820, 1924, 2405, 2590, 3367, 4810, 5180, 6734, 9620, 13468, 16835, 33670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67327 and 67340. The biggest common factor number is the GCF number.
So the greatest common factor 67327 and 67340 is 13.

Also check out the Least Common Multiple of 67327 and 67340