What is the Greatest Common Factor of 75490 and 75500?

Greatest common factor (GCF) of 75490 and 75500 is 10.

GCF(75490,75500) = 10

We will now calculate the prime factors of 75490 and 75500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75490 and 75500.

How to find the GCF of 75490 and 75500?

We will first find the prime factorization of 75490 and 75500. After we will calculate the factors of 75490 and 75500 and find the biggest common factor number .

Step-1: Prime Factorization of 75490

Prime factors of 75490 are 2, 5, 7549. Prime factorization of 75490 in exponential form is:

75490 = 2¹ × 5¹ × 7549¹

Step-2: Prime Factorization of 75500

Prime factors of 75500 are 2, 5, 151. Prime factorization of 75500 in exponential form is:

75500 = 2² × 5³ × 151¹

Step-3: Factors of 75490

List of positive integer factors of 75490 that divides 75490 without a remainder.

1, 2, 5, 10, 7549, 15098, 37745

Step-4: Factors of 75500

List of positive integer factors of 75500 that divides 75490 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 151, 250, 302, 500, 604, 755, 1510, 3020, 3775, 7550, 15100, 18875, 37750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75490 and 75500. The biggest common factor number is the GCF number.
So the greatest common factor 75490 and 75500 is 10.

Also check out the Least Common Multiple of 75490 and 75500