What is the Greatest Common Factor of 76475 and 76487?

Greatest common factor (GCF) of 76475 and 76487 is 1.

GCF(76475,76487) = 1

We will now calculate the prime factors of 76475 and 76487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76475 and 76487.

How to find the GCF of 76475 and 76487?

We will first find the prime factorization of 76475 and 76487. After we will calculate the factors of 76475 and 76487 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 76487

Prime factors of 76487 are 76487. Prime factorization of 76487 in exponential form is:

76487 = 76487¹

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 76487

List of positive integer factors of 76487 that divides 76475 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76475 and 76487. The biggest common factor number is the GCF number.
So the greatest common factor 76475 and 76487 is 1.

Also check out the Least Common Multiple of 76475 and 76487