What is the Greatest Common Factor of 75397 and 75411?

Greatest common factor (GCF) of 75397 and 75411 is 7.

GCF(75397,75411) = 7

We will now calculate the prime factors of 75397 and 75411, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75397 and 75411.

How to find the GCF of 75397 and 75411?

We will first find the prime factorization of 75397 and 75411. After we will calculate the factors of 75397 and 75411 and find the biggest common factor number .

Step-1: Prime Factorization of 75397

Prime factors of 75397 are 7, 10771. Prime factorization of 75397 in exponential form is:

75397 = 7¹ × 10771¹

Step-2: Prime Factorization of 75411

Prime factors of 75411 are 3, 7, 19. Prime factorization of 75411 in exponential form is:

75411 = 3⁴ × 7² × 19¹

Step-3: Factors of 75397

List of positive integer factors of 75397 that divides 75397 without a remainder.

1, 7, 10771

Step-4: Factors of 75411

List of positive integer factors of 75411 that divides 75397 without a remainder.

1, 3, 7, 9, 19, 21, 27, 49, 57, 63, 81, 133, 147, 171, 189, 399, 441, 513, 567, 931, 1197, 1323, 1539, 2793, 3591, 3969, 8379, 10773, 25137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75397 and 75411. The biggest common factor number is the GCF number.
So the greatest common factor 75397 and 75411 is 7.

Also check out the Least Common Multiple of 75397 and 75411