What is the Greatest Common Factor of 35378 and 35383?

Greatest common factor (GCF) of 35378 and 35383 is 1.

GCF(35378,35383) = 1

We will now calculate the prime factors of 35378 and 35383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35378 and 35383.

How to find the GCF of 35378 and 35383?

We will first find the prime factorization of 35378 and 35383. After we will calculate the factors of 35378 and 35383 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 35383

Prime factors of 35383 are 41, 863. Prime factorization of 35383 in exponential form is:

35383 = 41¹ × 863¹

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 35383

List of positive integer factors of 35383 that divides 35378 without a remainder.

1, 41, 863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35378 and 35383. The biggest common factor number is the GCF number.
So the greatest common factor 35378 and 35383 is 1.

Also check out the Least Common Multiple of 35378 and 35383