What is the Greatest Common Factor of 47536 and 47540?

Greatest common factor (GCF) of 47536 and 47540 is 4.

GCF(47536,47540) = 4

We will now calculate the prime factors of 47536 and 47540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47536 and 47540.

How to find the GCF of 47536 and 47540?

We will first find the prime factorization of 47536 and 47540. After we will calculate the factors of 47536 and 47540 and find the biggest common factor number .

Step-1: Prime Factorization of 47536

Prime factors of 47536 are 2, 2971. Prime factorization of 47536 in exponential form is:

47536 = 2⁴ × 2971¹

Step-2: Prime Factorization of 47540

Prime factors of 47540 are 2, 5, 2377. Prime factorization of 47540 in exponential form is:

47540 = 2² × 5¹ × 2377¹

Step-3: Factors of 47536

List of positive integer factors of 47536 that divides 47536 without a remainder.

1, 2, 4, 8, 16, 2971, 5942, 11884, 23768

Step-4: Factors of 47540

List of positive integer factors of 47540 that divides 47536 without a remainder.

1, 2, 4, 5, 10, 20, 2377, 4754, 9508, 11885, 23770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47536 and 47540. The biggest common factor number is the GCF number.
So the greatest common factor 47536 and 47540 is 4.

Also check out the Least Common Multiple of 47536 and 47540