What is the Greatest Common Factor of 48881 and 48888?

Greatest common factor (GCF) of 48881 and 48888 is 7.

GCF(48881,48888) = 7

We will now calculate the prime factors of 48881 and 48888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48881 and 48888.

How to find the GCF of 48881 and 48888?

We will first find the prime factorization of 48881 and 48888. After we will calculate the factors of 48881 and 48888 and find the biggest common factor number .

Step-1: Prime Factorization of 48881

Prime factors of 48881 are 7, 6983. Prime factorization of 48881 in exponential form is:

48881 = 7¹ × 6983¹

Step-2: Prime Factorization of 48888

Prime factors of 48888 are 2, 3, 7, 97. Prime factorization of 48888 in exponential form is:

48888 = 2³ × 3² × 7¹ × 97¹

Step-3: Factors of 48881

List of positive integer factors of 48881 that divides 48881 without a remainder.

1, 7, 6983

Step-4: Factors of 48888

List of positive integer factors of 48888 that divides 48881 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 97, 126, 168, 194, 252, 291, 388, 504, 582, 679, 776, 873, 1164, 1358, 1746, 2037, 2328, 2716, 3492, 4074, 5432, 6111, 6984, 8148, 12222, 16296, 24444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48881 and 48888. The biggest common factor number is the GCF number.
So the greatest common factor 48881 and 48888 is 7.

Also check out the Least Common Multiple of 48881 and 48888