What is the Greatest Common Factor of 84850 and 84870?

Greatest common factor (GCF) of 84850 and 84870 is 10.

GCF(84850,84870) = 10

We will now calculate the prime factors of 84850 and 84870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84850 and 84870.

How to find the GCF of 84850 and 84870?

We will first find the prime factorization of 84850 and 84870. After we will calculate the factors of 84850 and 84870 and find the biggest common factor number .

Step-1: Prime Factorization of 84850

Prime factors of 84850 are 2, 5, 1697. Prime factorization of 84850 in exponential form is:

84850 = 2¹ × 5² × 1697¹

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 84850

List of positive integer factors of 84850 that divides 84850 without a remainder.

1, 2, 5, 10, 25, 50, 1697, 3394, 8485, 16970, 42425

Step-4: Factors of 84870

List of positive integer factors of 84870 that divides 84850 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 84850 and 84870. The biggest common factor number is the GCF number.
So the greatest common factor 84850 and 84870 is 10.

Also check out the Least Common Multiple of 84850 and 84870