What is the Greatest Common Factor of 72825 and 72834?

Greatest common factor (GCF) of 72825 and 72834 is 3.

GCF(72825,72834) = 3

We will now calculate the prime factors of 72825 and 72834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72825 and 72834.

How to find the GCF of 72825 and 72834?

We will first find the prime factorization of 72825 and 72834. After we will calculate the factors of 72825 and 72834 and find the biggest common factor number .

Step-1: Prime Factorization of 72825

Prime factors of 72825 are 3, 5, 971. Prime factorization of 72825 in exponential form is:

72825 = 3¹ × 5² × 971¹

Step-2: Prime Factorization of 72834

Prime factors of 72834 are 2, 3, 61, 199. Prime factorization of 72834 in exponential form is:

72834 = 2¹ × 3¹ × 61¹ × 199¹

Step-3: Factors of 72825

List of positive integer factors of 72825 that divides 72825 without a remainder.

1, 3, 5, 15, 25, 75, 971, 2913, 4855, 14565, 24275

Step-4: Factors of 72834

List of positive integer factors of 72834 that divides 72825 without a remainder.

1, 2, 3, 6, 61, 122, 183, 199, 366, 398, 597, 1194, 12139, 24278, 36417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72825 and 72834. The biggest common factor number is the GCF number.
So the greatest common factor 72825 and 72834 is 3.

Also check out the Least Common Multiple of 72825 and 72834