What is the Greatest Common Factor of 48874 and 48884?

Greatest common factor (GCF) of 48874 and 48884 is 2.

GCF(48874,48884) = 2

We will now calculate the prime factors of 48874 and 48884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48874 and 48884.

How to find the GCF of 48874 and 48884?

We will first find the prime factorization of 48874 and 48884. After we will calculate the factors of 48874 and 48884 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 48884

Prime factors of 48884 are 2, 11, 101. Prime factorization of 48884 in exponential form is:

48884 = 2² × 11² × 101¹

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 48884

List of positive integer factors of 48884 that divides 48874 without a remainder.

1, 2, 4, 11, 22, 44, 101, 121, 202, 242, 404, 484, 1111, 2222, 4444, 12221, 24442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48874 and 48884. The biggest common factor number is the GCF number.
So the greatest common factor 48874 and 48884 is 2.

Also check out the Least Common Multiple of 48874 and 48884