What is the Greatest Common Factor of 67371 and 67388?

Greatest common factor (GCF) of 67371 and 67388 is 17.

GCF(67371,67388) = 17

We will now calculate the prime factors of 67371 and 67388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67371 and 67388.

How to find the GCF of 67371 and 67388?

We will first find the prime factorization of 67371 and 67388. After we will calculate the factors of 67371 and 67388 and find the biggest common factor number .

Step-1: Prime Factorization of 67371

Prime factors of 67371 are 3, 17, 1321. Prime factorization of 67371 in exponential form is:

67371 = 3¹ × 17¹ × 1321¹

Step-2: Prime Factorization of 67388

Prime factors of 67388 are 2, 17, 991. Prime factorization of 67388 in exponential form is:

67388 = 2² × 17¹ × 991¹

Step-3: Factors of 67371

List of positive integer factors of 67371 that divides 67371 without a remainder.

1, 3, 17, 51, 1321, 3963, 22457

Step-4: Factors of 67388

List of positive integer factors of 67388 that divides 67371 without a remainder.

1, 2, 4, 17, 34, 68, 991, 1982, 3964, 16847, 33694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67371 and 67388. The biggest common factor number is the GCF number.
So the greatest common factor 67371 and 67388 is 17.

Also check out the Least Common Multiple of 67371 and 67388