What is the Greatest Common Factor of 35359 and 35378?

Greatest common factor (GCF) of 35359 and 35378 is 19.

GCF(35359,35378) = 19

We will now calculate the prime factors of 35359 and 35378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35359 and 35378.

How to find the GCF of 35359 and 35378?

We will first find the prime factorization of 35359 and 35378. After we will calculate the factors of 35359 and 35378 and find the biggest common factor number .

Step-1: Prime Factorization of 35359

Prime factors of 35359 are 19, 1861. Prime factorization of 35359 in exponential form is:

35359 = 19¹ × 1861¹

Step-2: 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-3: Factors of 35359

List of positive integer factors of 35359 that divides 35359 without a remainder.

1, 19, 1861

Step-4: Factors of 35378

List of positive integer factors of 35378 that divides 35359 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35359 and 35378. The biggest common factor number is the GCF number.
So the greatest common factor 35359 and 35378 is 19.

Also check out the Least Common Multiple of 35359 and 35378