What is the Greatest Common Factor of 76475 and 76486?

Greatest common factor (GCF) of 76475 and 76486 is 1.

GCF(76475,76486) = 1

We will now calculate the prime factors of 76475 and 76486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76475 and 76486.

How to find the GCF of 76475 and 76486?

We will first find the prime factorization of 76475 and 76486. After we will calculate the factors of 76475 and 76486 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 76486

Prime factors of 76486 are 2, 167, 229. Prime factorization of 76486 in exponential form is:

76486 = 2¹ × 167¹ × 229¹

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 76486

List of positive integer factors of 76486 that divides 76475 without a remainder.

1, 2, 167, 229, 334, 458, 38243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76475 and 76486. The biggest common factor number is the GCF number.
So the greatest common factor 76475 and 76486 is 1.

Also check out the Least Common Multiple of 76475 and 76486