What is the Greatest Common Factor of 92120 and 92140?

Greatest common factor (GCF) of 92120 and 92140 is 20.

GCF(92120,92140) = 20

We will now calculate the prime factors of 92120 and 92140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92120 and 92140.

How to find the GCF of 92120 and 92140?

We will first find the prime factorization of 92120 and 92140. After we will calculate the factors of 92120 and 92140 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 92140

Prime factors of 92140 are 2, 5, 17, 271. Prime factorization of 92140 in exponential form is:

92140 = 2² × 5¹ × 17¹ × 271¹

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 92140

List of positive integer factors of 92140 that divides 92120 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 271, 340, 542, 1084, 1355, 2710, 4607, 5420, 9214, 18428, 23035, 46070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92120 and 92140. The biggest common factor number is the GCF number.
So the greatest common factor 92120 and 92140 is 20.

Also check out the Least Common Multiple of 92120 and 92140