What is the Greatest Common Factor of 47487 and 47498?

Greatest common factor (GCF) of 47487 and 47498 is 11.

GCF(47487,47498) = 11

We will now calculate the prime factors of 47487 and 47498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47487 and 47498.

How to find the GCF of 47487 and 47498?

We will first find the prime factorization of 47487 and 47498. After we will calculate the factors of 47487 and 47498 and find the biggest common factor number .

Step-1: Prime Factorization of 47487

Prime factors of 47487 are 3, 11, 1439. Prime factorization of 47487 in exponential form is:

47487 = 3¹ × 11¹ × 1439¹

Step-2: Prime Factorization of 47498

Prime factors of 47498 are 2, 11, 17, 127. Prime factorization of 47498 in exponential form is:

47498 = 2¹ × 11¹ × 17¹ × 127¹

Step-3: Factors of 47487

List of positive integer factors of 47487 that divides 47487 without a remainder.

1, 3, 11, 33, 1439, 4317, 15829

Step-4: Factors of 47498

List of positive integer factors of 47498 that divides 47487 without a remainder.

1, 2, 11, 17, 22, 34, 127, 187, 254, 374, 1397, 2159, 2794, 4318, 23749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47487 and 47498. The biggest common factor number is the GCF number.
So the greatest common factor 47487 and 47498 is 11.

Also check out the Least Common Multiple of 47487 and 47498