What is the Greatest Common Factor of 92120 and 92127?

Greatest common factor (GCF) of 92120 and 92127 is 7.

GCF(92120,92127) = 7

We will now calculate the prime factors of 92120 and 92127, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92120 and 92127.

How to find the GCF of 92120 and 92127?

We will first find the prime factorization of 92120 and 92127. After we will calculate the factors of 92120 and 92127 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 92127

Prime factors of 92127 are 3, 7, 41, 107. Prime factorization of 92127 in exponential form is:

92127 = 3¹ × 7¹ × 41¹ × 107¹

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 92127

List of positive integer factors of 92127 that divides 92120 without a remainder.

1, 3, 7, 21, 41, 107, 123, 287, 321, 749, 861, 2247, 4387, 13161, 30709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92120 and 92127. The biggest common factor number is the GCF number.
So the greatest common factor 92120 and 92127 is 7.

Also check out the Least Common Multiple of 92120 and 92127