What is the Greatest Common Factor of 47528 and 47541?

Greatest common factor (GCF) of 47528 and 47541 is 13.

GCF(47528,47541) = 13

We will now calculate the prime factors of 47528 and 47541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47528 and 47541.

How to find the GCF of 47528 and 47541?

We will first find the prime factorization of 47528 and 47541. After we will calculate the factors of 47528 and 47541 and find the biggest common factor number .

Step-1: Prime Factorization of 47528

Prime factors of 47528 are 2, 13, 457. Prime factorization of 47528 in exponential form is:

47528 = 2³ × 13¹ × 457¹

Step-2: Prime Factorization of 47541

Prime factors of 47541 are 3, 13, 23, 53. Prime factorization of 47541 in exponential form is:

47541 = 3¹ × 13¹ × 23¹ × 53¹

Step-3: Factors of 47528

List of positive integer factors of 47528 that divides 47528 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 457, 914, 1828, 3656, 5941, 11882, 23764

Step-4: Factors of 47541

List of positive integer factors of 47541 that divides 47528 without a remainder.

1, 3, 13, 23, 39, 53, 69, 159, 299, 689, 897, 1219, 2067, 3657, 15847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47528 and 47541. The biggest common factor number is the GCF number.
So the greatest common factor 47528 and 47541 is 13.

Also check out the Least Common Multiple of 47528 and 47541