What is the Greatest Common Factor of 84825 and 84840?

Greatest common factor (GCF) of 84825 and 84840 is 15.

GCF(84825,84840) = 15

We will now calculate the prime factors of 84825 and 84840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84825 and 84840.

How to find the GCF of 84825 and 84840?

We will first find the prime factorization of 84825 and 84840. After we will calculate the factors of 84825 and 84840 and find the biggest common factor number .

Step-1: Prime Factorization of 84825

Prime factors of 84825 are 3, 5, 13, 29. Prime factorization of 84825 in exponential form is:

84825 = 3² × 5² × 13¹ × 29¹

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 84825

List of positive integer factors of 84825 that divides 84825 without a remainder.

1, 3, 5, 9, 13, 15, 25, 29, 39, 45, 65, 75, 87, 117, 145, 195, 225, 261, 325, 377, 435, 585, 725, 975, 1131, 1305, 1885, 2175, 2925, 3393, 5655, 6525, 9425, 16965, 28275

Step-4: Factors of 84840

List of positive integer factors of 84840 that divides 84825 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 84825 and 84840. The biggest common factor number is the GCF number.
So the greatest common factor 84825 and 84840 is 15.

Also check out the Least Common Multiple of 84825 and 84840