What is the Greatest Common Factor of 47476 and 47489?

Greatest common factor (GCF) of 47476 and 47489 is 13.

GCF(47476,47489) = 13

We will now calculate the prime factors of 47476 and 47489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47476 and 47489.

How to find the GCF of 47476 and 47489?

We will first find the prime factorization of 47476 and 47489. After we will calculate the factors of 47476 and 47489 and find the biggest common factor number .

Step-1: Prime Factorization of 47476

Prime factors of 47476 are 2, 11, 13, 83. Prime factorization of 47476 in exponential form is:

47476 = 2² × 11¹ × 13¹ × 83¹

Step-2: Prime Factorization of 47489

Prime factors of 47489 are 13, 281. Prime factorization of 47489 in exponential form is:

47489 = 13² × 281¹

Step-3: Factors of 47476

List of positive integer factors of 47476 that divides 47476 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 83, 143, 166, 286, 332, 572, 913, 1079, 1826, 2158, 3652, 4316, 11869, 23738

Step-4: Factors of 47489

List of positive integer factors of 47489 that divides 47476 without a remainder.

1, 13, 169, 281, 3653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47476 and 47489. The biggest common factor number is the GCF number.
So the greatest common factor 47476 and 47489 is 13.

Also check out the Least Common Multiple of 47476 and 47489