What is the Greatest Common Factor of 75384 and 75395?

Greatest common factor (GCF) of 75384 and 75395 is 1.

GCF(75384,75395) = 1

We will now calculate the prime factors of 75384 and 75395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75384 and 75395.

How to find the GCF of 75384 and 75395?

We will first find the prime factorization of 75384 and 75395. After we will calculate the factors of 75384 and 75395 and find the biggest common factor number .

Step-1: Prime Factorization of 75384

Prime factors of 75384 are 2, 3, 349. Prime factorization of 75384 in exponential form is:

75384 = 2³ × 3³ × 349¹

Step-2: Prime Factorization of 75395

Prime factors of 75395 are 5, 17, 887. Prime factorization of 75395 in exponential form is:

75395 = 5¹ × 17¹ × 887¹

Step-3: Factors of 75384

List of positive integer factors of 75384 that divides 75384 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 349, 698, 1047, 1396, 2094, 2792, 3141, 4188, 6282, 8376, 9423, 12564, 18846, 25128, 37692

Step-4: Factors of 75395

List of positive integer factors of 75395 that divides 75384 without a remainder.

1, 5, 17, 85, 887, 4435, 15079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75384 and 75395. The biggest common factor number is the GCF number.
So the greatest common factor 75384 and 75395 is 1.

Also check out the Least Common Multiple of 75384 and 75395