What is the Greatest Common Factor of 92844 and 92862?

Greatest common factor (GCF) of 92844 and 92862 is 18.

GCF(92844,92862) = 18

We will now calculate the prime factors of 92844 and 92862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92844 and 92862.

How to find the GCF of 92844 and 92862?

We will first find the prime factorization of 92844 and 92862. After we will calculate the factors of 92844 and 92862 and find the biggest common factor number .

Step-1: Prime Factorization of 92844

Prime factors of 92844 are 2, 3, 2579. Prime factorization of 92844 in exponential form is:

92844 = 2² × 3² × 2579¹

Step-2: Prime Factorization of 92862

Prime factors of 92862 are 2, 3, 7, 11, 67. Prime factorization of 92862 in exponential form is:

92862 = 2¹ × 3² × 7¹ × 11¹ × 67¹

Step-3: Factors of 92844

List of positive integer factors of 92844 that divides 92844 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2579, 5158, 7737, 10316, 15474, 23211, 30948, 46422

Step-4: Factors of 92862

List of positive integer factors of 92862 that divides 92844 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 67, 77, 99, 126, 134, 154, 198, 201, 231, 402, 462, 469, 603, 693, 737, 938, 1206, 1386, 1407, 1474, 2211, 2814, 4221, 4422, 5159, 6633, 8442, 10318, 13266, 15477, 30954, 46431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92844 and 92862. The biggest common factor number is the GCF number.
So the greatest common factor 92844 and 92862 is 18.

Also check out the Least Common Multiple of 92844 and 92862