What is the Greatest Common Factor of 84870 and 84875?

Greatest common factor (GCF) of 84870 and 84875 is 5.

GCF(84870,84875) = 5

We will now calculate the prime factors of 84870 and 84875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84870 and 84875.

How to find the GCF of 84870 and 84875?

We will first find the prime factorization of 84870 and 84875. After we will calculate the factors of 84870 and 84875 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84875

Prime factors of 84875 are 5, 7, 97. Prime factorization of 84875 in exponential form is:

84875 = 5³ × 7¹ × 97¹

Step-3: Factors of 84870

List of positive integer factors of 84870 that divides 84870 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

Step-4: Factors of 84875

List of positive integer factors of 84875 that divides 84870 without a remainder.

1, 5, 7, 25, 35, 97, 125, 175, 485, 679, 875, 2425, 3395, 12125, 16975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84870 and 84875. The biggest common factor number is the GCF number.
So the greatest common factor 84870 and 84875 is 5.

Also check out the Least Common Multiple of 84870 and 84875