What is the Greatest Common Factor of 48825 and 48844?

Greatest common factor (GCF) of 48825 and 48844 is 1.

GCF(48825,48844) = 1

We will now calculate the prime factors of 48825 and 48844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48825 and 48844.

How to find the GCF of 48825 and 48844?

We will first find the prime factorization of 48825 and 48844. After we will calculate the factors of 48825 and 48844 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 48844

Prime factors of 48844 are 2, 12211. Prime factorization of 48844 in exponential form is:

48844 = 2² × 12211¹

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 48844

List of positive integer factors of 48844 that divides 48825 without a remainder.

1, 2, 4, 12211, 24422

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48825 and 48844. The biggest common factor number is the GCF number.
So the greatest common factor 48825 and 48844 is 1.

Also check out the Least Common Multiple of 48825 and 48844