What is the Greatest Common Factor of 92648 and 92668?

Greatest common factor (GCF) of 92648 and 92668 is 4.

GCF(92648,92668) = 4

We will now calculate the prime factors of 92648 and 92668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92648 and 92668.

How to find the GCF of 92648 and 92668?

We will first find the prime factorization of 92648 and 92668. After we will calculate the factors of 92648 and 92668 and find the biggest common factor number .

Step-1: Prime Factorization of 92648

Prime factors of 92648 are 2, 37, 313. Prime factorization of 92648 in exponential form is:

92648 = 2³ × 37¹ × 313¹

Step-2: Prime Factorization of 92668

Prime factors of 92668 are 2, 23167. Prime factorization of 92668 in exponential form is:

92668 = 2² × 23167¹

Step-3: Factors of 92648

List of positive integer factors of 92648 that divides 92648 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296, 313, 626, 1252, 2504, 11581, 23162, 46324

Step-4: Factors of 92668

List of positive integer factors of 92668 that divides 92648 without a remainder.

1, 2, 4, 23167, 46334

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92648 and 92668. The biggest common factor number is the GCF number.
So the greatest common factor 92648 and 92668 is 4.

Also check out the Least Common Multiple of 92648 and 92668