What is the Greatest Common Factor of 92684 and 92692?

Greatest common factor (GCF) of 92684 and 92692 is 4.

GCF(92684,92692) = 4

We will now calculate the prime factors of 92684 and 92692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92684 and 92692.

How to find the GCF of 92684 and 92692?

We will first find the prime factorization of 92684 and 92692. After we will calculate the factors of 92684 and 92692 and find the biggest common factor number .

Step-1: Prime Factorization of 92684

Prime factors of 92684 are 2, 17, 29, 47. Prime factorization of 92684 in exponential form is:

92684 = 2² × 17¹ × 29¹ × 47¹

Step-2: Prime Factorization of 92692

Prime factors of 92692 are 2, 23173. Prime factorization of 92692 in exponential form is:

92692 = 2² × 23173¹

Step-3: Factors of 92684

List of positive integer factors of 92684 that divides 92684 without a remainder.

1, 2, 4, 17, 29, 34, 47, 58, 68, 94, 116, 188, 493, 799, 986, 1363, 1598, 1972, 2726, 3196, 5452, 23171, 46342

Step-4: Factors of 92692

List of positive integer factors of 92692 that divides 92684 without a remainder.

1, 2, 4, 23173, 46346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92684 and 92692. The biggest common factor number is the GCF number.
So the greatest common factor 92684 and 92692 is 4.

Also check out the Least Common Multiple of 92684 and 92692