What is the Greatest Common Factor of 76475 and 76485?

Greatest common factor (GCF) of 76475 and 76485 is 5.

GCF(76475,76485) = 5

We will now calculate the prime factors of 76475 and 76485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76475 and 76485.

How to find the GCF of 76475 and 76485?

We will first find the prime factorization of 76475 and 76485. After we will calculate the factors of 76475 and 76485 and find the biggest common factor number .

Step-1: Prime Factorization of 76475

Prime factors of 76475 are 5, 7, 19, 23. Prime factorization of 76475 in exponential form is:

76475 = 5² × 7¹ × 19¹ × 23¹

Step-2: 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-3: Factors of 76475

List of positive integer factors of 76475 that divides 76475 without a remainder.

1, 5, 7, 19, 23, 25, 35, 95, 115, 133, 161, 175, 437, 475, 575, 665, 805, 2185, 3059, 3325, 4025, 10925, 15295

Step-4: Factors of 76485

List of positive integer factors of 76485 that divides 76475 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76475 and 76485. The biggest common factor number is the GCF number.
So the greatest common factor 76475 and 76485 is 5.

Also check out the Least Common Multiple of 76475 and 76485