What is the Greatest Common Factor of 35378 and 35397?

Greatest common factor (GCF) of 35378 and 35397 is 19.

GCF(35378,35397) = 19

We will now calculate the prime factors of 35378 and 35397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35378 and 35397.

How to find the GCF of 35378 and 35397?

We will first find the prime factorization of 35378 and 35397. After we will calculate the factors of 35378 and 35397 and find the biggest common factor number .

Step-1: Prime Factorization of 35378

Prime factors of 35378 are 2, 7, 19. Prime factorization of 35378 in exponential form is:

35378 = 2¹ × 7² × 19²

Step-2: Prime Factorization of 35397

Prime factors of 35397 are 3, 19, 23. Prime factorization of 35397 in exponential form is:

35397 = 3⁴ × 19¹ × 23¹

Step-3: Factors of 35378

List of positive integer factors of 35378 that divides 35378 without a remainder.

1, 2, 7, 14, 19, 38, 49, 98, 133, 266, 361, 722, 931, 1862, 2527, 5054, 17689

Step-4: Factors of 35397

List of positive integer factors of 35397 that divides 35378 without a remainder.

1, 3, 9, 19, 23, 27, 57, 69, 81, 171, 207, 437, 513, 621, 1311, 1539, 1863, 3933, 11799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35378 and 35397. The biggest common factor number is the GCF number.
So the greatest common factor 35378 and 35397 is 19.

Also check out the Least Common Multiple of 35378 and 35397