What is the Greatest Common Factor of 78483 and 78498?

Greatest common factor (GCF) of 78483 and 78498 is 3.

GCF(78483,78498) = 3

We will now calculate the prime factors of 78483 and 78498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78483 and 78498.

How to find the GCF of 78483 and 78498?

We will first find the prime factorization of 78483 and 78498. After we will calculate the factors of 78483 and 78498 and find the biggest common factor number .

Step-1: Prime Factorization of 78483

Prime factors of 78483 are 3, 26161. Prime factorization of 78483 in exponential form is:

78483 = 3¹ × 26161¹

Step-2: Prime Factorization of 78498

Prime factors of 78498 are 2, 3, 7, 89. Prime factorization of 78498 in exponential form is:

78498 = 2¹ × 3² × 7² × 89¹

Step-3: Factors of 78483

List of positive integer factors of 78483 that divides 78483 without a remainder.

1, 3, 26161

Step-4: Factors of 78498

List of positive integer factors of 78498 that divides 78483 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 89, 98, 126, 147, 178, 267, 294, 441, 534, 623, 801, 882, 1246, 1602, 1869, 3738, 4361, 5607, 8722, 11214, 13083, 26166, 39249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78483 and 78498. The biggest common factor number is the GCF number.
So the greatest common factor 78483 and 78498 is 3.

Also check out the Least Common Multiple of 78483 and 78498