What is the Greatest Common Factor of 67337 and 67354?

Greatest common factor (GCF) of 67337 and 67354 is 17.

GCF(67337,67354) = 17

We will now calculate the prime factors of 67337 and 67354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67337 and 67354.

How to find the GCF of 67337 and 67354?

We will first find the prime factorization of 67337 and 67354. After we will calculate the factors of 67337 and 67354 and find the biggest common factor number .

Step-1: Prime Factorization of 67337

Prime factors of 67337 are 17, 233. Prime factorization of 67337 in exponential form is:

67337 = 17² × 233¹

Step-2: 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-3: Factors of 67337

List of positive integer factors of 67337 that divides 67337 without a remainder.

1, 17, 233, 289, 3961

Step-4: Factors of 67354

List of positive integer factors of 67354 that divides 67337 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67337 and 67354. The biggest common factor number is the GCF number.
So the greatest common factor 67337 and 67354 is 17.

Also check out the Least Common Multiple of 67337 and 67354