What is the Greatest Common Factor of 92105 and 92120?

Greatest common factor (GCF) of 92105 and 92120 is 5.

GCF(92105,92120) = 5

We will now calculate the prime factors of 92105 and 92120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92105 and 92120.

How to find the GCF of 92105 and 92120?

We will first find the prime factorization of 92105 and 92120. After we will calculate the factors of 92105 and 92120 and find the biggest common factor number .

Step-1: Prime Factorization of 92105

Prime factors of 92105 are 5, 13, 109. Prime factorization of 92105 in exponential form is:

92105 = 5¹ × 13² × 109¹

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 92105

List of positive integer factors of 92105 that divides 92105 without a remainder.

1, 5, 13, 65, 109, 169, 545, 845, 1417, 7085, 18421

Step-4: Factors of 92120

List of positive integer factors of 92120 that divides 92105 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 92105 and 92120. The biggest common factor number is the GCF number.
So the greatest common factor 92105 and 92120 is 5.

Also check out the Least Common Multiple of 92105 and 92120