What is the Greatest Common Factor of 47496 and 47505?

Greatest common factor (GCF) of 47496 and 47505 is 3.

GCF(47496,47505) = 3

We will now calculate the prime factors of 47496 and 47505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47496 and 47505.

How to find the GCF of 47496 and 47505?

We will first find the prime factorization of 47496 and 47505. After we will calculate the factors of 47496 and 47505 and find the biggest common factor number .

Step-1: Prime Factorization of 47496

Prime factors of 47496 are 2, 3, 1979. Prime factorization of 47496 in exponential form is:

47496 = 2³ × 3¹ × 1979¹

Step-2: Prime Factorization of 47505

Prime factors of 47505 are 3, 5, 3167. Prime factorization of 47505 in exponential form is:

47505 = 3¹ × 5¹ × 3167¹

Step-3: Factors of 47496

List of positive integer factors of 47496 that divides 47496 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1979, 3958, 5937, 7916, 11874, 15832, 23748

Step-4: Factors of 47505

List of positive integer factors of 47505 that divides 47496 without a remainder.

1, 3, 5, 15, 3167, 9501, 15835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47496 and 47505. The biggest common factor number is the GCF number.
So the greatest common factor 47496 and 47505 is 3.

Also check out the Least Common Multiple of 47496 and 47505