What is the Greatest Common Factor of 78471 and 78486?

Greatest common factor (GCF) of 78471 and 78486 is 3.

GCF(78471,78486) = 3

We will now calculate the prime factors of 78471 and 78486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78471 and 78486.

How to find the GCF of 78471 and 78486?

We will first find the prime factorization of 78471 and 78486. After we will calculate the factors of 78471 and 78486 and find the biggest common factor number .

Step-1: Prime Factorization of 78471

Prime factors of 78471 are 3, 8719. Prime factorization of 78471 in exponential form is:

78471 = 3² × 8719¹

Step-2: Prime Factorization of 78486

Prime factors of 78486 are 2, 3, 103, 127. Prime factorization of 78486 in exponential form is:

78486 = 2¹ × 3¹ × 103¹ × 127¹

Step-3: Factors of 78471

List of positive integer factors of 78471 that divides 78471 without a remainder.

1, 3, 9, 8719, 26157

Step-4: Factors of 78486

List of positive integer factors of 78486 that divides 78471 without a remainder.

1, 2, 3, 6, 103, 127, 206, 254, 309, 381, 618, 762, 13081, 26162, 39243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78471 and 78486. The biggest common factor number is the GCF number.
So the greatest common factor 78471 and 78486 is 3.

Also check out the Least Common Multiple of 78471 and 78486