What is the Greatest Common Factor of 84855 and 84870?

Greatest common factor (GCF) of 84855 and 84870 is 15.

GCF(84855,84870) = 15

We will now calculate the prime factors of 84855 and 84870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84855 and 84870.

How to find the GCF of 84855 and 84870?

We will first find the prime factorization of 84855 and 84870. After we will calculate the factors of 84855 and 84870 and find the biggest common factor number .

Step-1: Prime Factorization of 84855

Prime factors of 84855 are 3, 5, 5657. Prime factorization of 84855 in exponential form is:

84855 = 3¹ × 5¹ × 5657¹

Step-2: Prime Factorization of 84870

Prime factors of 84870 are 2, 3, 5, 23, 41. Prime factorization of 84870 in exponential form is:

84870 = 2¹ × 3² × 5¹ × 23¹ × 41¹

Step-3: Factors of 84855

List of positive integer factors of 84855 that divides 84855 without a remainder.

1, 3, 5, 15, 5657, 16971, 28285

Step-4: Factors of 84870

List of positive integer factors of 84870 that divides 84855 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 41, 45, 46, 69, 82, 90, 115, 123, 138, 205, 207, 230, 246, 345, 369, 410, 414, 615, 690, 738, 943, 1035, 1230, 1845, 1886, 2070, 2829, 3690, 4715, 5658, 8487, 9430, 14145, 16974, 28290, 42435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84855 and 84870. The biggest common factor number is the GCF number.
So the greatest common factor 84855 and 84870 is 15.

Also check out the Least Common Multiple of 84855 and 84870