What is the Greatest Common Factor of 92120 and 92125?

Greatest common factor (GCF) of 92120 and 92125 is 5.

GCF(92120,92125) = 5

We will now calculate the prime factors of 92120 and 92125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92120 and 92125.

How to find the GCF of 92120 and 92125?

We will first find the prime factorization of 92120 and 92125. After we will calculate the factors of 92120 and 92125 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 92125

Prime factors of 92125 are 5, 11, 67. Prime factorization of 92125 in exponential form is:

92125 = 5³ × 11¹ × 67¹

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 92125

List of positive integer factors of 92125 that divides 92120 without a remainder.

1, 5, 11, 25, 55, 67, 125, 275, 335, 737, 1375, 1675, 3685, 8375, 18425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92120 and 92125. The biggest common factor number is the GCF number.
So the greatest common factor 92120 and 92125 is 5.

Also check out the Least Common Multiple of 92120 and 92125