What is the Greatest Common Factor of 84856 and 84870?

Greatest common factor (GCF) of 84856 and 84870 is 2.

GCF(84856,84870) = 2

We will now calculate the prime factors of 84856 and 84870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84856 and 84870.

How to find the GCF of 84856 and 84870?

We will first find the prime factorization of 84856 and 84870. After we will calculate the factors of 84856 and 84870 and find the biggest common factor number .

Step-1: Prime Factorization of 84856

Prime factors of 84856 are 2, 10607. Prime factorization of 84856 in exponential form is:

84856 = 2³ × 10607¹

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 84856

List of positive integer factors of 84856 that divides 84856 without a remainder.

1, 2, 4, 8, 10607, 21214, 42428

Step-4: Factors of 84870

List of positive integer factors of 84870 that divides 84856 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 84856 and 84870. The biggest common factor number is the GCF number.
So the greatest common factor 84856 and 84870 is 2.

Also check out the Least Common Multiple of 84856 and 84870