What is the Greatest Common Factor of 67340 and 67353?

Greatest common factor (GCF) of 67340 and 67353 is 13.

GCF(67340,67353) = 13

We will now calculate the prime factors of 67340 and 67353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67340 and 67353.

How to find the GCF of 67340 and 67353?

We will first find the prime factorization of 67340 and 67353. After we will calculate the factors of 67340 and 67353 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 67353

Prime factors of 67353 are 3, 11, 13, 157. Prime factorization of 67353 in exponential form is:

67353 = 3¹ × 11¹ × 13¹ × 157¹

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 67353

List of positive integer factors of 67353 that divides 67340 without a remainder.

1, 3, 11, 13, 33, 39, 143, 157, 429, 471, 1727, 2041, 5181, 6123, 22451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67340 and 67353. The biggest common factor number is the GCF number.
So the greatest common factor 67340 and 67353 is 13.

Also check out the Least Common Multiple of 67340 and 67353