What is the Greatest Common Factor of 48825 and 48829?

Greatest common factor (GCF) of 48825 and 48829 is 1.

GCF(48825,48829) = 1

We will now calculate the prime factors of 48825 and 48829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48825 and 48829.

How to find the GCF of 48825 and 48829?

We will first find the prime factorization of 48825 and 48829. After we will calculate the factors of 48825 and 48829 and find the biggest common factor number .

Step-1: Prime Factorization of 48825

Prime factors of 48825 are 3, 5, 7, 31. Prime factorization of 48825 in exponential form is:

48825 = 3² × 5² × 7¹ × 31¹

Step-2: Prime Factorization of 48829

Prime factors of 48829 are 11, 23, 193. Prime factorization of 48829 in exponential form is:

48829 = 11¹ × 23¹ × 193¹

Step-3: Factors of 48825

List of positive integer factors of 48825 that divides 48825 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 31, 35, 45, 63, 75, 93, 105, 155, 175, 217, 225, 279, 315, 465, 525, 651, 775, 1085, 1395, 1575, 1953, 2325, 3255, 5425, 6975, 9765, 16275

Step-4: Factors of 48829

List of positive integer factors of 48829 that divides 48825 without a remainder.

1, 11, 23, 193, 253, 2123, 4439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48825 and 48829. The biggest common factor number is the GCF number.
So the greatest common factor 48825 and 48829 is 1.

Also check out the Least Common Multiple of 48825 and 48829