What is the Greatest Common Factor of 67340 and 67354?

Greatest common factor (GCF) of 67340 and 67354 is 14.

GCF(67340,67354) = 14

We will now calculate the prime factors of 67340 and 67354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67340 and 67354.

How to find the GCF of 67340 and 67354?

We will first find the prime factorization of 67340 and 67354. After we will calculate the factors of 67340 and 67354 and find the biggest common factor number .

Step-1: 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-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 67340

List of positive integer factors of 67340 that divides 67340 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

Step-4: Factors of 67354

List of positive integer factors of 67354 that divides 67340 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 67340 and 67354. The biggest common factor number is the GCF number.
So the greatest common factor 67340 and 67354 is 14.

Also check out the Least Common Multiple of 67340 and 67354