What is the Greatest Common Factor of 67116 and 67135?

Greatest common factor (GCF) of 67116 and 67135 is 1.

GCF(67116,67135) = 1

We will now calculate the prime factors of 67116 and 67135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67116 and 67135.

How to find the GCF of 67116 and 67135?

We will first find the prime factorization of 67116 and 67135. After we will calculate the factors of 67116 and 67135 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 67135

Prime factors of 67135 are 5, 29, 463. Prime factorization of 67135 in exponential form is:

67135 = 5¹ × 29¹ × 463¹

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 67135

List of positive integer factors of 67135 that divides 67116 without a remainder.

1, 5, 29, 145, 463, 2315, 13427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67116 and 67135. The biggest common factor number is the GCF number.
So the greatest common factor 67116 and 67135 is 1.

Also check out the Least Common Multiple of 67116 and 67135