What is the Greatest Common Factor of 47862 and 47876?

Greatest common factor (GCF) of 47862 and 47876 is 2.

GCF(47862,47876) = 2

We will now calculate the prime factors of 47862 and 47876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47862 and 47876.

How to find the GCF of 47862 and 47876?

We will first find the prime factorization of 47862 and 47876. After we will calculate the factors of 47862 and 47876 and find the biggest common factor number .

Step-1: Prime Factorization of 47862

Prime factors of 47862 are 2, 3, 2659. Prime factorization of 47862 in exponential form is:

47862 = 2¹ × 3² × 2659¹

Step-2: Prime Factorization of 47876

Prime factors of 47876 are 2, 11969. Prime factorization of 47876 in exponential form is:

47876 = 2² × 11969¹

Step-3: Factors of 47862

List of positive integer factors of 47862 that divides 47862 without a remainder.

1, 2, 3, 6, 9, 18, 2659, 5318, 7977, 15954, 23931

Step-4: Factors of 47876

List of positive integer factors of 47876 that divides 47862 without a remainder.

1, 2, 4, 11969, 23938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47862 and 47876. The biggest common factor number is the GCF number.
So the greatest common factor 47862 and 47876 is 2.

Also check out the Least Common Multiple of 47862 and 47876