What is the Greatest Common Factor of 84828 and 84840?

Greatest common factor (GCF) of 84828 and 84840 is 12.

GCF(84828,84840) = 12

We will now calculate the prime factors of 84828 and 84840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84828 and 84840.

How to find the GCF of 84828 and 84840?

We will first find the prime factorization of 84828 and 84840. After we will calculate the factors of 84828 and 84840 and find the biggest common factor number .

Step-1: Prime Factorization of 84828

Prime factors of 84828 are 2, 3, 7069. Prime factorization of 84828 in exponential form is:

84828 = 2² × 3¹ × 7069¹

Step-2: 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-3: Factors of 84828

List of positive integer factors of 84828 that divides 84828 without a remainder.

1, 2, 3, 4, 6, 12, 7069, 14138, 21207, 28276, 42414

Step-4: Factors of 84840

List of positive integer factors of 84840 that divides 84828 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84828 and 84840. The biggest common factor number is the GCF number.
So the greatest common factor 84828 and 84840 is 12.

Also check out the Least Common Multiple of 84828 and 84840