What is the Greatest Common Factor of 75390 and 75404?

Greatest common factor (GCF) of 75390 and 75404 is 14.

GCF(75390,75404) = 14

We will now calculate the prime factors of 75390 and 75404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75390 and 75404.

How to find the GCF of 75390 and 75404?

We will first find the prime factorization of 75390 and 75404. After we will calculate the factors of 75390 and 75404 and find the biggest common factor number .

Step-1: Prime Factorization of 75390

Prime factors of 75390 are 2, 3, 5, 7, 359. Prime factorization of 75390 in exponential form is:

75390 = 2¹ × 3¹ × 5¹ × 7¹ × 359¹

Step-2: Prime Factorization of 75404

Prime factors of 75404 are 2, 7, 2693. Prime factorization of 75404 in exponential form is:

75404 = 2² × 7¹ × 2693¹

Step-3: Factors of 75390

List of positive integer factors of 75390 that divides 75390 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 359, 718, 1077, 1795, 2154, 2513, 3590, 5026, 5385, 7539, 10770, 12565, 15078, 25130, 37695

Step-4: Factors of 75404

List of positive integer factors of 75404 that divides 75390 without a remainder.

1, 2, 4, 7, 14, 28, 2693, 5386, 10772, 18851, 37702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75390 and 75404. The biggest common factor number is the GCF number.
So the greatest common factor 75390 and 75404 is 14.

Also check out the Least Common Multiple of 75390 and 75404