What is the Greatest Common Factor of 76475 and 76490?

Greatest common factor (GCF) of 76475 and 76490 is 5.

GCF(76475,76490) = 5

We will now calculate the prime factors of 76475 and 76490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76475 and 76490.

How to find the GCF of 76475 and 76490?

We will first find the prime factorization of 76475 and 76490. After we will calculate the factors of 76475 and 76490 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 76490

Prime factors of 76490 are 2, 5, 7649. Prime factorization of 76490 in exponential form is:

76490 = 2¹ × 5¹ × 7649¹

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 76490

List of positive integer factors of 76490 that divides 76475 without a remainder.

1, 2, 5, 10, 7649, 15298, 38245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76475 and 76490. The biggest common factor number is the GCF number.
So the greatest common factor 76475 and 76490 is 5.

Also check out the Least Common Multiple of 76475 and 76490