What is the Greatest Common Factor of 76485 and 76503?

Greatest common factor (GCF) of 76485 and 76503 is 3.

GCF(76485,76503) = 3

We will now calculate the prime factors of 76485 and 76503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76485 and 76503.

How to find the GCF of 76485 and 76503?

We will first find the prime factorization of 76485 and 76503. After we will calculate the factors of 76485 and 76503 and find the biggest common factor number .

Step-1: Prime Factorization of 76485

Prime factors of 76485 are 3, 5, 5099. Prime factorization of 76485 in exponential form is:

76485 = 3¹ × 5¹ × 5099¹

Step-2: Prime Factorization of 76503

Prime factors of 76503 are 3, 7, 3643. Prime factorization of 76503 in exponential form is:

76503 = 3¹ × 7¹ × 3643¹

Step-3: Factors of 76485

List of positive integer factors of 76485 that divides 76485 without a remainder.

1, 3, 5, 15, 5099, 15297, 25495

Step-4: Factors of 76503

List of positive integer factors of 76503 that divides 76485 without a remainder.

1, 3, 7, 21, 3643, 10929, 25501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76485 and 76503. The biggest common factor number is the GCF number.
So the greatest common factor 76485 and 76503 is 3.

Also check out the Least Common Multiple of 76485 and 76503