What is the Greatest Common Factor of 75382 and 75390?

Greatest common factor (GCF) of 75382 and 75390 is 2.

GCF(75382,75390) = 2

We will now calculate the prime factors of 75382 and 75390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75382 and 75390.

How to find the GCF of 75382 and 75390?

We will first find the prime factorization of 75382 and 75390. After we will calculate the factors of 75382 and 75390 and find the biggest common factor number .

Step-1: Prime Factorization of 75382

Prime factors of 75382 are 2, 37691. Prime factorization of 75382 in exponential form is:

75382 = 2¹ × 37691¹

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 75382

List of positive integer factors of 75382 that divides 75382 without a remainder.

1, 2, 37691

Step-4: Factors of 75390

List of positive integer factors of 75390 that divides 75382 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 75382 and 75390. The biggest common factor number is the GCF number.
So the greatest common factor 75382 and 75390 is 2.

Also check out the Least Common Multiple of 75382 and 75390