What is the Greatest Common Factor of 92922 and 92939?

Greatest common factor (GCF) of 92922 and 92939 is 17.

GCF(92922,92939) = 17

We will now calculate the prime factors of 92922 and 92939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92922 and 92939.

How to find the GCF of 92922 and 92939?

We will first find the prime factorization of 92922 and 92939. After we will calculate the factors of 92922 and 92939 and find the biggest common factor number .

Step-1: Prime Factorization of 92922

Prime factors of 92922 are 2, 3, 17, 911. Prime factorization of 92922 in exponential form is:

92922 = 2¹ × 3¹ × 17¹ × 911¹

Step-2: Prime Factorization of 92939

Prime factors of 92939 are 7, 11, 17, 71. Prime factorization of 92939 in exponential form is:

92939 = 7¹ × 11¹ × 17¹ × 71¹

Step-3: Factors of 92922

List of positive integer factors of 92922 that divides 92922 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 911, 1822, 2733, 5466, 15487, 30974, 46461

Step-4: Factors of 92939

List of positive integer factors of 92939 that divides 92922 without a remainder.

1, 7, 11, 17, 71, 77, 119, 187, 497, 781, 1207, 1309, 5467, 8449, 13277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92922 and 92939. The biggest common factor number is the GCF number.
So the greatest common factor 92922 and 92939 is 17.

Also check out the Least Common Multiple of 92922 and 92939