What is the Greatest Common Factor of 47480 and 47494?

Greatest common factor (GCF) of 47480 and 47494 is 2.

GCF(47480,47494) = 2

We will now calculate the prime factors of 47480 and 47494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47480 and 47494.

How to find the GCF of 47480 and 47494?

We will first find the prime factorization of 47480 and 47494. After we will calculate the factors of 47480 and 47494 and find the biggest common factor number .

Step-1: Prime Factorization of 47480

Prime factors of 47480 are 2, 5, 1187. Prime factorization of 47480 in exponential form is:

47480 = 2³ × 5¹ × 1187¹

Step-2: Prime Factorization of 47494

Prime factors of 47494 are 2, 23747. Prime factorization of 47494 in exponential form is:

47494 = 2¹ × 23747¹

Step-3: Factors of 47480

List of positive integer factors of 47480 that divides 47480 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1187, 2374, 4748, 5935, 9496, 11870, 23740

Step-4: Factors of 47494

List of positive integer factors of 47494 that divides 47480 without a remainder.

1, 2, 23747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47480 and 47494. The biggest common factor number is the GCF number.
So the greatest common factor 47480 and 47494 is 2.

Also check out the Least Common Multiple of 47480 and 47494