What is the Greatest Common Factor of 47528 and 47542?

Greatest common factor (GCF) of 47528 and 47542 is 2.

GCF(47528,47542) = 2

We will now calculate the prime factors of 47528 and 47542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47528 and 47542.

How to find the GCF of 47528 and 47542?

We will first find the prime factorization of 47528 and 47542. After we will calculate the factors of 47528 and 47542 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 47542

Prime factors of 47542 are 2, 11, 2161. Prime factorization of 47542 in exponential form is:

47542 = 2¹ × 11¹ × 2161¹

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 47542

List of positive integer factors of 47542 that divides 47528 without a remainder.

1, 2, 11, 22, 2161, 4322, 23771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47528 and 47542. The biggest common factor number is the GCF number.
So the greatest common factor 47528 and 47542 is 2.

Also check out the Least Common Multiple of 47528 and 47542