What is the Greatest Common Factor of 78471 and 78485?

Greatest common factor (GCF) of 78471 and 78485 is 1.

GCF(78471,78485) = 1

We will now calculate the prime factors of 78471 and 78485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78471 and 78485.

How to find the GCF of 78471 and 78485?

We will first find the prime factorization of 78471 and 78485. After we will calculate the factors of 78471 and 78485 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 78485

Prime factors of 78485 are 5, 11, 1427. Prime factorization of 78485 in exponential form is:

78485 = 5¹ × 11¹ × 1427¹

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 78485

List of positive integer factors of 78485 that divides 78471 without a remainder.

1, 5, 11, 55, 1427, 7135, 15697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78471 and 78485. The biggest common factor number is the GCF number.
So the greatest common factor 78471 and 78485 is 1.

Also check out the Least Common Multiple of 78471 and 78485