What is the Greatest Common Factor of 54825 and 54834?

Greatest common factor (GCF) of 54825 and 54834 is 3.

GCF(54825,54834) = 3

We will now calculate the prime factors of 54825 and 54834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54825 and 54834.

How to find the GCF of 54825 and 54834?

We will first find the prime factorization of 54825 and 54834. After we will calculate the factors of 54825 and 54834 and find the biggest common factor number .

Step-1: Prime Factorization of 54825

Prime factors of 54825 are 3, 5, 17, 43. Prime factorization of 54825 in exponential form is:

54825 = 3¹ × 5² × 17¹ × 43¹

Step-2: Prime Factorization of 54834

Prime factors of 54834 are 2, 3, 13, 19, 37. Prime factorization of 54834 in exponential form is:

54834 = 2¹ × 3¹ × 13¹ × 19¹ × 37¹

Step-3: Factors of 54825

List of positive integer factors of 54825 that divides 54825 without a remainder.

1, 3, 5, 15, 17, 25, 43, 51, 75, 85, 129, 215, 255, 425, 645, 731, 1075, 1275, 2193, 3225, 3655, 10965, 18275

Step-4: Factors of 54834

List of positive integer factors of 54834 that divides 54825 without a remainder.

1, 2, 3, 6, 13, 19, 26, 37, 38, 39, 57, 74, 78, 111, 114, 222, 247, 481, 494, 703, 741, 962, 1406, 1443, 1482, 2109, 2886, 4218, 9139, 18278, 27417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54825 and 54834. The biggest common factor number is the GCF number.
So the greatest common factor 54825 and 54834 is 3.

Also check out the Least Common Multiple of 54825 and 54834