What is the Greatest Common Factor of 84870 and 84888?

Greatest common factor (GCF) of 84870 and 84888 is 18.

GCF(84870,84888) = 18

We will now calculate the prime factors of 84870 and 84888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84870 and 84888.

How to find the GCF of 84870 and 84888?

We will first find the prime factorization of 84870 and 84888. After we will calculate the factors of 84870 and 84888 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 84888

Prime factors of 84888 are 2, 3, 131. Prime factorization of 84888 in exponential form is:

84888 = 2³ × 3⁴ × 131¹

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 84888

List of positive integer factors of 84888 that divides 84870 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 131, 162, 216, 262, 324, 393, 524, 648, 786, 1048, 1179, 1572, 2358, 3144, 3537, 4716, 7074, 9432, 10611, 14148, 21222, 28296, 42444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84870 and 84888. The biggest common factor number is the GCF number.
So the greatest common factor 84870 and 84888 is 18.

Also check out the Least Common Multiple of 84870 and 84888