What is the Greatest Common Factor of 92120 and 92133?

Greatest common factor (GCF) of 92120 and 92133 is 1.

GCF(92120,92133) = 1

We will now calculate the prime factors of 92120 and 92133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92120 and 92133.

How to find the GCF of 92120 and 92133?

We will first find the prime factorization of 92120 and 92133. After we will calculate the factors of 92120 and 92133 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 92133

Prime factors of 92133 are 3, 29, 353. Prime factorization of 92133 in exponential form is:

92133 = 3² × 29¹ × 353¹

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 92133

List of positive integer factors of 92133 that divides 92120 without a remainder.

1, 3, 9, 29, 87, 261, 353, 1059, 3177, 10237, 30711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92120 and 92133. The biggest common factor number is the GCF number.
So the greatest common factor 92120 and 92133 is 1.

Also check out the Least Common Multiple of 92120 and 92133