What is the Greatest Common Factor of 47525 and 47538?

Greatest common factor (GCF) of 47525 and 47538 is 1.

GCF(47525,47538) = 1

We will now calculate the prime factors of 47525 and 47538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47525 and 47538.

How to find the GCF of 47525 and 47538?

We will first find the prime factorization of 47525 and 47538. After we will calculate the factors of 47525 and 47538 and find the biggest common factor number .

Step-1: Prime Factorization of 47525

Prime factors of 47525 are 5, 1901. Prime factorization of 47525 in exponential form is:

47525 = 5² × 1901¹

Step-2: Prime Factorization of 47538

Prime factors of 47538 are 2, 3, 19, 139. Prime factorization of 47538 in exponential form is:

47538 = 2¹ × 3² × 19¹ × 139¹

Step-3: Factors of 47525

List of positive integer factors of 47525 that divides 47525 without a remainder.

1, 5, 25, 1901, 9505

Step-4: Factors of 47538

List of positive integer factors of 47538 that divides 47525 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 139, 171, 278, 342, 417, 834, 1251, 2502, 2641, 5282, 7923, 15846, 23769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47525 and 47538. The biggest common factor number is the GCF number.
So the greatest common factor 47525 and 47538 is 1.

Also check out the Least Common Multiple of 47525 and 47538