What is the Greatest Common Factor of 67354 and 67371?

Greatest common factor (GCF) of 67354 and 67371 is 17.

GCF(67354,67371) = 17

We will now calculate the prime factors of 67354 and 67371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67354 and 67371.

How to find the GCF of 67354 and 67371?

We will first find the prime factorization of 67354 and 67371. After we will calculate the factors of 67354 and 67371 and find the biggest common factor number .

Step-1: Prime Factorization of 67354

Prime factors of 67354 are 2, 7, 17, 283. Prime factorization of 67354 in exponential form is:

67354 = 2¹ × 7¹ × 17¹ × 283¹

Step-2: 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-3: Factors of 67354

List of positive integer factors of 67354 that divides 67354 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 283, 566, 1981, 3962, 4811, 9622, 33677

Step-4: Factors of 67371

List of positive integer factors of 67371 that divides 67354 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67354 and 67371. The biggest common factor number is the GCF number.
So the greatest common factor 67354 and 67371 is 17.

Also check out the Least Common Multiple of 67354 and 67371