What is the Greatest Common Factor of 47456 and 47470?

Greatest common factor (GCF) of 47456 and 47470 is 2.

GCF(47456,47470) = 2

We will now calculate the prime factors of 47456 and 47470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47456 and 47470.

How to find the GCF of 47456 and 47470?

We will first find the prime factorization of 47456 and 47470. After we will calculate the factors of 47456 and 47470 and find the biggest common factor number .

Step-1: Prime Factorization of 47456

Prime factors of 47456 are 2, 1483. Prime factorization of 47456 in exponential form is:

47456 = 2⁵ × 1483¹

Step-2: Prime Factorization of 47470

Prime factors of 47470 are 2, 5, 47, 101. Prime factorization of 47470 in exponential form is:

47470 = 2¹ × 5¹ × 47¹ × 101¹

Step-3: Factors of 47456

List of positive integer factors of 47456 that divides 47456 without a remainder.

1, 2, 4, 8, 16, 32, 1483, 2966, 5932, 11864, 23728

Step-4: Factors of 47470

List of positive integer factors of 47470 that divides 47456 without a remainder.

1, 2, 5, 10, 47, 94, 101, 202, 235, 470, 505, 1010, 4747, 9494, 23735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47456 and 47470. The biggest common factor number is the GCF number.
So the greatest common factor 47456 and 47470 is 2.

Also check out the Least Common Multiple of 47456 and 47470