What is the Greatest Common Factor of 76460 and 76475?

Greatest common factor (GCF) of 76460 and 76475 is 5.

GCF(76460,76475) = 5

We will now calculate the prime factors of 76460 and 76475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76460 and 76475.

How to find the GCF of 76460 and 76475?

We will first find the prime factorization of 76460 and 76475. After we will calculate the factors of 76460 and 76475 and find the biggest common factor number .

Step-1: Prime Factorization of 76460

Prime factors of 76460 are 2, 5, 3823. Prime factorization of 76460 in exponential form is:

76460 = 2² × 5¹ × 3823¹

Step-2: 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-3: Factors of 76460

List of positive integer factors of 76460 that divides 76460 without a remainder.

1, 2, 4, 5, 10, 20, 3823, 7646, 15292, 19115, 38230

Step-4: Factors of 76475

List of positive integer factors of 76475 that divides 76460 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76460 and 76475. The biggest common factor number is the GCF number.
So the greatest common factor 76460 and 76475 is 5.

Also check out the Least Common Multiple of 76460 and 76475