What is the Greatest Common Factor of 48874 and 48888?

Greatest common factor (GCF) of 48874 and 48888 is 14.

GCF(48874,48888) = 14

We will now calculate the prime factors of 48874 and 48888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48874 and 48888.

How to find the GCF of 48874 and 48888?

We will first find the prime factorization of 48874 and 48888. After we will calculate the factors of 48874 and 48888 and find the biggest common factor number .

Step-1: Prime Factorization of 48874

Prime factors of 48874 are 2, 7, 3491. Prime factorization of 48874 in exponential form is:

48874 = 2¹ × 7¹ × 3491¹

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 48874

List of positive integer factors of 48874 that divides 48874 without a remainder.

1, 2, 7, 14, 3491, 6982, 24437

Step-4: Factors of 48888

List of positive integer factors of 48888 that divides 48874 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 48874 and 48888. The biggest common factor number is the GCF number.
So the greatest common factor 48874 and 48888 is 14.

Also check out the Least Common Multiple of 48874 and 48888