What is the Greatest Common Factor of 92848 and 92862?

Greatest common factor (GCF) of 92848 and 92862 is 14.

GCF(92848,92862) = 14

We will now calculate the prime factors of 92848 and 92862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92848 and 92862.

How to find the GCF of 92848 and 92862?

We will first find the prime factorization of 92848 and 92862. After we will calculate the factors of 92848 and 92862 and find the biggest common factor number .

Step-1: Prime Factorization of 92848

Prime factors of 92848 are 2, 7, 829. Prime factorization of 92848 in exponential form is:

92848 = 2⁴ × 7¹ × 829¹

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 92848

List of positive integer factors of 92848 that divides 92848 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 829, 1658, 3316, 5803, 6632, 11606, 13264, 23212, 46424

Step-4: Factors of 92862

List of positive integer factors of 92862 that divides 92848 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 92848 and 92862. The biggest common factor number is the GCF number.
So the greatest common factor 92848 and 92862 is 14.

Also check out the Least Common Multiple of 92848 and 92862