What is the Greatest Common Factor of 47422 and 47440?

Greatest common factor (GCF) of 47422 and 47440 is 2.

GCF(47422,47440) = 2

We will now calculate the prime factors of 47422 and 47440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47422 and 47440.

How to find the GCF of 47422 and 47440?

We will first find the prime factorization of 47422 and 47440. After we will calculate the factors of 47422 and 47440 and find the biggest common factor number .

Step-1: Prime Factorization of 47422

Prime factors of 47422 are 2, 131, 181. Prime factorization of 47422 in exponential form is:

47422 = 2¹ × 131¹ × 181¹

Step-2: Prime Factorization of 47440

Prime factors of 47440 are 2, 5, 593. Prime factorization of 47440 in exponential form is:

47440 = 2⁴ × 5¹ × 593¹

Step-3: Factors of 47422

List of positive integer factors of 47422 that divides 47422 without a remainder.

1, 2, 131, 181, 262, 362, 23711

Step-4: Factors of 47440

List of positive integer factors of 47440 that divides 47422 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 593, 1186, 2372, 2965, 4744, 5930, 9488, 11860, 23720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47422 and 47440. The biggest common factor number is the GCF number.
So the greatest common factor 47422 and 47440 is 2.

Also check out the Least Common Multiple of 47422 and 47440