What is the Greatest Common Factor of 84814 and 84825?

Greatest common factor (GCF) of 84814 and 84825 is 1.

GCF(84814,84825) = 1

We will now calculate the prime factors of 84814 and 84825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84814 and 84825.

How to find the GCF of 84814 and 84825?

We will first find the prime factorization of 84814 and 84825. After we will calculate the factors of 84814 and 84825 and find the biggest common factor number .

Step-1: Prime Factorization of 84814

Prime factors of 84814 are 2, 42407. Prime factorization of 84814 in exponential form is:

84814 = 2¹ × 42407¹

Step-2: 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-3: Factors of 84814

List of positive integer factors of 84814 that divides 84814 without a remainder.

1, 2, 42407

Step-4: Factors of 84825

List of positive integer factors of 84825 that divides 84814 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84814 and 84825. The biggest common factor number is the GCF number.
So the greatest common factor 84814 and 84825 is 1.

Also check out the Least Common Multiple of 84814 and 84825