What is the Greatest Common Factor of 92120 and 92134?

Greatest common factor (GCF) of 92120 and 92134 is 14.

GCF(92120,92134) = 14

We will now calculate the prime factors of 92120 and 92134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92120 and 92134.

How to find the GCF of 92120 and 92134?

We will first find the prime factorization of 92120 and 92134. After we will calculate the factors of 92120 and 92134 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 92134

Prime factors of 92134 are 2, 7, 6581. Prime factorization of 92134 in exponential form is:

92134 = 2¹ × 7¹ × 6581¹

Step-3: Factors of 92120

List of positive integer factors of 92120 that divides 92120 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

Step-4: Factors of 92134

List of positive integer factors of 92134 that divides 92120 without a remainder.

1, 2, 7, 14, 6581, 13162, 46067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92120 and 92134. The biggest common factor number is the GCF number.
So the greatest common factor 92120 and 92134 is 14.

Also check out the Least Common Multiple of 92120 and 92134