What is the Greatest Common Factor of 67116 and 67120?

Greatest common factor (GCF) of 67116 and 67120 is 4.

GCF(67116,67120) = 4

We will now calculate the prime factors of 67116 and 67120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67116 and 67120.

How to find the GCF of 67116 and 67120?

We will first find the prime factorization of 67116 and 67120. After we will calculate the factors of 67116 and 67120 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 67120

Prime factors of 67120 are 2, 5, 839. Prime factorization of 67120 in exponential form is:

67120 = 2⁴ × 5¹ × 839¹

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 67120

List of positive integer factors of 67120 that divides 67116 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 839, 1678, 3356, 4195, 6712, 8390, 13424, 16780, 33560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67116 and 67120. The biggest common factor number is the GCF number.
So the greatest common factor 67116 and 67120 is 4.

Also check out the Least Common Multiple of 67116 and 67120