What is the Greatest Common Factor of 47440 and 47458?

Greatest common factor (GCF) of 47440 and 47458 is 2.

GCF(47440,47458) = 2

We will now calculate the prime factors of 47440 and 47458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47440 and 47458.

How to find the GCF of 47440 and 47458?

We will first find the prime factorization of 47440 and 47458. After we will calculate the factors of 47440 and 47458 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47458

Prime factors of 47458 are 2, 61, 389. Prime factorization of 47458 in exponential form is:

47458 = 2¹ × 61¹ × 389¹

Step-3: Factors of 47440

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

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

Step-4: Factors of 47458

List of positive integer factors of 47458 that divides 47440 without a remainder.

1, 2, 61, 122, 389, 778, 23729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47440 and 47458. The biggest common factor number is the GCF number.
So the greatest common factor 47440 and 47458 is 2.

Also check out the Least Common Multiple of 47440 and 47458