What is the Greatest Common Factor of 97086 and 97092?

Greatest common factor (GCF) of 97086 and 97092 is 6.

GCF(97086,97092) = 6

We will now calculate the prime factors of 97086 and 97092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97086 and 97092.

How to find the GCF of 97086 and 97092?

We will first find the prime factorization of 97086 and 97092. After we will calculate the factors of 97086 and 97092 and find the biggest common factor number .

Step-1: Prime Factorization of 97086

Prime factors of 97086 are 2, 3, 11, 1471. Prime factorization of 97086 in exponential form is:

97086 = 2¹ × 3¹ × 11¹ × 1471¹

Step-2: Prime Factorization of 97092

Prime factors of 97092 are 2, 3, 29, 31. Prime factorization of 97092 in exponential form is:

97092 = 2² × 3³ × 29¹ × 31¹

Step-3: Factors of 97086

List of positive integer factors of 97086 that divides 97086 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1471, 2942, 4413, 8826, 16181, 32362, 48543

Step-4: Factors of 97092

List of positive integer factors of 97092 that divides 97086 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 31, 36, 54, 58, 62, 87, 93, 108, 116, 124, 174, 186, 261, 279, 348, 372, 522, 558, 783, 837, 899, 1044, 1116, 1566, 1674, 1798, 2697, 3132, 3348, 3596, 5394, 8091, 10788, 16182, 24273, 32364, 48546

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97086 and 97092. The biggest common factor number is the GCF number.
So the greatest common factor 97086 and 97092 is 6.

Also check out the Least Common Multiple of 97086 and 97092