What is the Greatest Common Factor of 48509 and 48527?

Greatest common factor (GCF) of 48509 and 48527 is 1.

GCF(48509,48527) = 1

We will now calculate the prime factors of 48509 and 48527, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48509 and 48527.

How to find the GCF of 48509 and 48527?

We will first find the prime factorization of 48509 and 48527. After we will calculate the factors of 48509 and 48527 and find the biggest common factor number .

Step-1: Prime Factorization of 48509

Prime factors of 48509 are 179, 271. Prime factorization of 48509 in exponential form is:

48509 = 179¹ × 271¹

Step-2: Prime Factorization of 48527

Prime factors of 48527 are 48527. Prime factorization of 48527 in exponential form is:

48527 = 48527¹

Step-3: Factors of 48509

List of positive integer factors of 48509 that divides 48509 without a remainder.

1, 179, 271

Step-4: Factors of 48527

List of positive integer factors of 48527 that divides 48509 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48509 and 48527. The biggest common factor number is the GCF number.
So the greatest common factor 48509 and 48527 is 1.

Also check out the Least Common Multiple of 48509 and 48527