What is the Greatest Common Factor of 92829 and 92838?

Greatest common factor (GCF) of 92829 and 92838 is 3.

GCF(92829,92838) = 3

We will now calculate the prime factors of 92829 and 92838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92829 and 92838.

How to find the GCF of 92829 and 92838?

We will first find the prime factorization of 92829 and 92838. After we will calculate the factors of 92829 and 92838 and find the biggest common factor number .

Step-1: Prime Factorization of 92829

Prime factors of 92829 are 3, 11, 29, 97. Prime factorization of 92829 in exponential form is:

92829 = 3¹ × 11¹ × 29¹ × 97¹

Step-2: Prime Factorization of 92838

Prime factors of 92838 are 2, 3, 15473. Prime factorization of 92838 in exponential form is:

92838 = 2¹ × 3¹ × 15473¹

Step-3: Factors of 92829

List of positive integer factors of 92829 that divides 92829 without a remainder.

1, 3, 11, 29, 33, 87, 97, 291, 319, 957, 1067, 2813, 3201, 8439, 30943

Step-4: Factors of 92838

List of positive integer factors of 92838 that divides 92829 without a remainder.

1, 2, 3, 6, 15473, 30946, 46419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92829 and 92838. The biggest common factor number is the GCF number.
So the greatest common factor 92829 and 92838 is 3.

Also check out the Least Common Multiple of 92829 and 92838