What is the Greatest Common Factor of 84888 and 84906?

Greatest common factor (GCF) of 84888 and 84906 is 18.

GCF(84888,84906) = 18

We will now calculate the prime factors of 84888 and 84906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84888 and 84906.

How to find the GCF of 84888 and 84906?

We will first find the prime factorization of 84888 and 84906. After we will calculate the factors of 84888 and 84906 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84906

Prime factors of 84906 are 2, 3, 53, 89. Prime factorization of 84906 in exponential form is:

84906 = 2¹ × 3² × 53¹ × 89¹

Step-3: Factors of 84888

List of positive integer factors of 84888 that divides 84888 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

Step-4: Factors of 84906

List of positive integer factors of 84906 that divides 84888 without a remainder.

1, 2, 3, 6, 9, 18, 53, 89, 106, 159, 178, 267, 318, 477, 534, 801, 954, 1602, 4717, 9434, 14151, 28302, 42453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84888 and 84906. The biggest common factor number is the GCF number.
So the greatest common factor 84888 and 84906 is 18.

Also check out the Least Common Multiple of 84888 and 84906