What is the Greatest Common Factor of 48825 and 48839?

Greatest common factor (GCF) of 48825 and 48839 is 7.

GCF(48825,48839) = 7

We will now calculate the prime factors of 48825 and 48839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48825 and 48839.

How to find the GCF of 48825 and 48839?

We will first find the prime factorization of 48825 and 48839. After we will calculate the factors of 48825 and 48839 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 48839

Prime factors of 48839 are 7, 6977. Prime factorization of 48839 in exponential form is:

48839 = 7¹ × 6977¹

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 48839

List of positive integer factors of 48839 that divides 48825 without a remainder.

1, 7, 6977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48825 and 48839. The biggest common factor number is the GCF number.
So the greatest common factor 48825 and 48839 is 7.

Also check out the Least Common Multiple of 48825 and 48839