What is the Greatest Common Factor of 67116 and 67133?

Greatest common factor (GCF) of 67116 and 67133 is 17.

GCF(67116,67133) = 17

We will now calculate the prime factors of 67116 and 67133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67116 and 67133.

How to find the GCF of 67116 and 67133?

We will first find the prime factorization of 67116 and 67133. After we will calculate the factors of 67116 and 67133 and find the biggest common factor number .

Step-1: Prime Factorization of 67116

Prime factors of 67116 are 2, 3, 7, 17, 47. Prime factorization of 67116 in exponential form is:

67116 = 2² × 3¹ × 7¹ × 17¹ × 47¹

Step-2: Prime Factorization of 67133

Prime factors of 67133 are 11, 17, 359. Prime factorization of 67133 in exponential form is:

67133 = 11¹ × 17¹ × 359¹

Step-3: Factors of 67116

List of positive integer factors of 67116 that divides 67116 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 47, 51, 68, 84, 94, 102, 119, 141, 188, 204, 238, 282, 329, 357, 476, 564, 658, 714, 799, 987, 1316, 1428, 1598, 1974, 2397, 3196, 3948, 4794, 5593, 9588, 11186, 16779, 22372, 33558

Step-4: Factors of 67133

List of positive integer factors of 67133 that divides 67116 without a remainder.

1, 11, 17, 187, 359, 3949, 6103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67116 and 67133. The biggest common factor number is the GCF number.
So the greatest common factor 67116 and 67133 is 17.

Also check out the Least Common Multiple of 67116 and 67133