What is the Greatest Common Factor of 84840 and 84855?

Greatest common factor (GCF) of 84840 and 84855 is 15.

GCF(84840,84855) = 15

We will now calculate the prime factors of 84840 and 84855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84840 and 84855.

How to find the GCF of 84840 and 84855?

We will first find the prime factorization of 84840 and 84855. After we will calculate the factors of 84840 and 84855 and find the biggest common factor number .

Step-1: Prime Factorization of 84840

Prime factors of 84840 are 2, 3, 5, 7, 101. Prime factorization of 84840 in exponential form is:

84840 = 2³ × 3¹ × 5¹ × 7¹ × 101¹

Step-2: Prime Factorization of 84855

Prime factors of 84855 are 3, 5, 5657. Prime factorization of 84855 in exponential form is:

84855 = 3¹ × 5¹ × 5657¹

Step-3: Factors of 84840

List of positive integer factors of 84840 that divides 84840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 101, 105, 120, 140, 168, 202, 210, 280, 303, 404, 420, 505, 606, 707, 808, 840, 1010, 1212, 1414, 1515, 2020, 2121, 2424, 2828, 3030, 3535, 4040, 4242, 5656, 6060, 7070, 8484, 10605, 12120, 14140, 16968, 21210, 28280, 42420

Step-4: Factors of 84855

List of positive integer factors of 84855 that divides 84840 without a remainder.

1, 3, 5, 15, 5657, 16971, 28285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84840 and 84855. The biggest common factor number is the GCF number.
So the greatest common factor 84840 and 84855 is 15.

Also check out the Least Common Multiple of 84840 and 84855