What is the Greatest Common Factor of 92106 and 92120?

Greatest common factor (GCF) of 92106 and 92120 is 14.

GCF(92106,92120) = 14

We will now calculate the prime factors of 92106 and 92120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92106 and 92120.

How to find the GCF of 92106 and 92120?

We will first find the prime factorization of 92106 and 92120. After we will calculate the factors of 92106 and 92120 and find the biggest common factor number .

Step-1: Prime Factorization of 92106

Prime factors of 92106 are 2, 3, 7, 17, 43. Prime factorization of 92106 in exponential form is:

92106 = 2¹ × 3² × 7¹ × 17¹ × 43¹

Step-2: Prime Factorization of 92120

Prime factors of 92120 are 2, 5, 7, 47. Prime factorization of 92120 in exponential form is:

92120 = 2³ × 5¹ × 7² × 47¹

Step-3: Factors of 92106

List of positive integer factors of 92106 that divides 92106 without a remainder.

1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 43, 51, 63, 86, 102, 119, 126, 129, 153, 238, 258, 301, 306, 357, 387, 602, 714, 731, 774, 903, 1071, 1462, 1806, 2142, 2193, 2709, 4386, 5117, 5418, 6579, 10234, 13158, 15351, 30702, 46053

Step-4: Factors of 92120

List of positive integer factors of 92120 that divides 92106 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 47, 49, 56, 70, 94, 98, 140, 188, 196, 235, 245, 280, 329, 376, 392, 470, 490, 658, 940, 980, 1316, 1645, 1880, 1960, 2303, 2632, 3290, 4606, 6580, 9212, 11515, 13160, 18424, 23030, 46060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92106 and 92120. The biggest common factor number is the GCF number.
So the greatest common factor 92106 and 92120 is 14.

Also check out the Least Common Multiple of 92106 and 92120