What is the Greatest Common Factor of 78892 and 78903?

Greatest common factor (GCF) of 78892 and 78903 is 11.

GCF(78892,78903) = 11

We will now calculate the prime factors of 78892 and 78903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78892 and 78903.

How to find the GCF of 78892 and 78903?

We will first find the prime factorization of 78892 and 78903. After we will calculate the factors of 78892 and 78903 and find the biggest common factor number .

Step-1: Prime Factorization of 78892

Prime factors of 78892 are 2, 11, 163. Prime factorization of 78892 in exponential form is:

78892 = 2² × 11² × 163¹

Step-2: Prime Factorization of 78903

Prime factors of 78903 are 3, 11, 797. Prime factorization of 78903 in exponential form is:

78903 = 3² × 11¹ × 797¹

Step-3: Factors of 78892

List of positive integer factors of 78892 that divides 78892 without a remainder.

1, 2, 4, 11, 22, 44, 121, 163, 242, 326, 484, 652, 1793, 3586, 7172, 19723, 39446

Step-4: Factors of 78903

List of positive integer factors of 78903 that divides 78892 without a remainder.

1, 3, 9, 11, 33, 99, 797, 2391, 7173, 8767, 26301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78892 and 78903. The biggest common factor number is the GCF number.
So the greatest common factor 78892 and 78903 is 11.

Also check out the Least Common Multiple of 78892 and 78903