What is the Greatest Common Factor of 92120 and 92126?

Greatest common factor (GCF) of 92120 and 92126 is 2.

GCF(92120,92126) = 2

We will now calculate the prime factors of 92120 and 92126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92120 and 92126.

How to find the GCF of 92120 and 92126?

We will first find the prime factorization of 92120 and 92126. After we will calculate the factors of 92120 and 92126 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 92126

Prime factors of 92126 are 2, 73, 631. Prime factorization of 92126 in exponential form is:

92126 = 2¹ × 73¹ × 631¹

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 92126

List of positive integer factors of 92126 that divides 92120 without a remainder.

1, 2, 73, 146, 631, 1262, 46063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92120 and 92126. The biggest common factor number is the GCF number.
So the greatest common factor 92120 and 92126 is 2.

Also check out the Least Common Multiple of 92120 and 92126