What is the Greatest Common Factor of 75380 and 75390?

Greatest common factor (GCF) of 75380 and 75390 is 10.

GCF(75380,75390) = 10

We will now calculate the prime factors of 75380 and 75390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75380 and 75390.

How to find the GCF of 75380 and 75390?

We will first find the prime factorization of 75380 and 75390. After we will calculate the factors of 75380 and 75390 and find the biggest common factor number .

Step-1: Prime Factorization of 75380

Prime factors of 75380 are 2, 5, 3769. Prime factorization of 75380 in exponential form is:

75380 = 2² × 5¹ × 3769¹

Step-2: 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-3: Factors of 75380

List of positive integer factors of 75380 that divides 75380 without a remainder.

1, 2, 4, 5, 10, 20, 3769, 7538, 15076, 18845, 37690

Step-4: Factors of 75390

List of positive integer factors of 75390 that divides 75380 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75380 and 75390. The biggest common factor number is the GCF number.
So the greatest common factor 75380 and 75390 is 10.

Also check out the Least Common Multiple of 75380 and 75390