What is the Greatest Common Factor of 48495 and 48509?

Greatest common factor (GCF) of 48495 and 48509 is 1.

GCF(48495,48509) = 1

We will now calculate the prime factors of 48495 and 48509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48495 and 48509.

How to find the GCF of 48495 and 48509?

We will first find the prime factorization of 48495 and 48509. After we will calculate the factors of 48495 and 48509 and find the biggest common factor number .

Step-1: Prime Factorization of 48495

Prime factors of 48495 are 3, 5, 53, 61. Prime factorization of 48495 in exponential form is:

48495 = 3¹ × 5¹ × 53¹ × 61¹

Step-2: Prime Factorization of 48509

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

48509 = 179¹ × 271¹

Step-3: Factors of 48495

List of positive integer factors of 48495 that divides 48495 without a remainder.

1, 3, 5, 15, 53, 61, 159, 183, 265, 305, 795, 915, 3233, 9699, 16165

Step-4: Factors of 48509

List of positive integer factors of 48509 that divides 48495 without a remainder.

1, 179, 271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48495 and 48509. The biggest common factor number is the GCF number.
So the greatest common factor 48495 and 48509 is 1.

Also check out the Least Common Multiple of 48495 and 48509