What is the Greatest Common Factor of 47508 and 47519?

Greatest common factor (GCF) of 47508 and 47519 is 1.

GCF(47508,47519) = 1

We will now calculate the prime factors of 47508 and 47519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47508 and 47519.

How to find the GCF of 47508 and 47519?

We will first find the prime factorization of 47508 and 47519. After we will calculate the factors of 47508 and 47519 and find the biggest common factor number .

Step-1: Prime Factorization of 47508

Prime factors of 47508 are 2, 3, 37, 107. Prime factorization of 47508 in exponential form is:

47508 = 2² × 3¹ × 37¹ × 107¹

Step-2: Prime Factorization of 47519

Prime factors of 47519 are 19, 41, 61. Prime factorization of 47519 in exponential form is:

47519 = 19¹ × 41¹ × 61¹

Step-3: Factors of 47508

List of positive integer factors of 47508 that divides 47508 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 107, 111, 148, 214, 222, 321, 428, 444, 642, 1284, 3959, 7918, 11877, 15836, 23754

Step-4: Factors of 47519

List of positive integer factors of 47519 that divides 47508 without a remainder.

1, 19, 41, 61, 779, 1159, 2501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47508 and 47519. The biggest common factor number is the GCF number.
So the greatest common factor 47508 and 47519 is 1.

Also check out the Least Common Multiple of 47508 and 47519