What is the Greatest Common Factor of 47514 and 47525?

Greatest common factor (GCF) of 47514 and 47525 is 1.

GCF(47514,47525) = 1

We will now calculate the prime factors of 47514 and 47525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47514 and 47525.

How to find the GCF of 47514 and 47525?

We will first find the prime factorization of 47514 and 47525. After we will calculate the factors of 47514 and 47525 and find the biggest common factor number .

Step-1: Prime Factorization of 47514

Prime factors of 47514 are 2, 3, 7919. Prime factorization of 47514 in exponential form is:

47514 = 2¹ × 3¹ × 7919¹

Step-2: Prime Factorization of 47525

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

47525 = 5² × 1901¹

Step-3: Factors of 47514

List of positive integer factors of 47514 that divides 47514 without a remainder.

1, 2, 3, 6, 7919, 15838, 23757

Step-4: Factors of 47525

List of positive integer factors of 47525 that divides 47514 without a remainder.

1, 5, 25, 1901, 9505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47514 and 47525. The biggest common factor number is the GCF number.
So the greatest common factor 47514 and 47525 is 1.

Also check out the Least Common Multiple of 47514 and 47525