What is the Greatest Common Factor of 84875 and 84888?

Greatest common factor (GCF) of 84875 and 84888 is 1.

GCF(84875,84888) = 1

We will now calculate the prime factors of 84875 and 84888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84875 and 84888.

How to find the GCF of 84875 and 84888?

We will first find the prime factorization of 84875 and 84888. After we will calculate the factors of 84875 and 84888 and find the biggest common factor number .

Step-1: 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-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 84875

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

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

Step-4: Factors of 84888

List of positive integer factors of 84888 that divides 84875 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 84875 and 84888. The biggest common factor number is the GCF number.
So the greatest common factor 84875 and 84888 is 1.

Also check out the Least Common Multiple of 84875 and 84888