What is the Greatest Common Factor of 78700 and 78705?

Greatest common factor (GCF) of 78700 and 78705 is 5.

GCF(78700,78705) = 5

We will now calculate the prime factors of 78700 and 78705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78700 and 78705.

How to find the GCF of 78700 and 78705?

We will first find the prime factorization of 78700 and 78705. After we will calculate the factors of 78700 and 78705 and find the biggest common factor number .

Step-1: Prime Factorization of 78700

Prime factors of 78700 are 2, 5, 787. Prime factorization of 78700 in exponential form is:

78700 = 2² × 5² × 787¹

Step-2: Prime Factorization of 78705

Prime factors of 78705 are 3, 5, 11, 53. Prime factorization of 78705 in exponential form is:

78705 = 3³ × 5¹ × 11¹ × 53¹

Step-3: Factors of 78700

List of positive integer factors of 78700 that divides 78700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 787, 1574, 3148, 3935, 7870, 15740, 19675, 39350

Step-4: Factors of 78705

List of positive integer factors of 78705 that divides 78700 without a remainder.

1, 3, 5, 9, 11, 15, 27, 33, 45, 53, 55, 99, 135, 159, 165, 265, 297, 477, 495, 583, 795, 1431, 1485, 1749, 2385, 2915, 5247, 7155, 8745, 15741, 26235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78700 and 78705. The biggest common factor number is the GCF number.
So the greatest common factor 78700 and 78705 is 5.

Also check out the Least Common Multiple of 78700 and 78705