What is the Greatest Common Factor of 35919 and 35938?

Greatest common factor (GCF) of 35919 and 35938 is 1.

GCF(35919,35938) = 1

We will now calculate the prime factors of 35919 and 35938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35919 and 35938.

How to find the GCF of 35919 and 35938?

We will first find the prime factorization of 35919 and 35938. After we will calculate the factors of 35919 and 35938 and find the biggest common factor number .

Step-1: Prime Factorization of 35919

Prime factors of 35919 are 3, 13, 307. Prime factorization of 35919 in exponential form is:

35919 = 3² × 13¹ × 307¹

Step-2: Prime Factorization of 35938

Prime factors of 35938 are 2, 7, 17, 151. Prime factorization of 35938 in exponential form is:

35938 = 2¹ × 7¹ × 17¹ × 151¹

Step-3: Factors of 35919

List of positive integer factors of 35919 that divides 35919 without a remainder.

1, 3, 9, 13, 39, 117, 307, 921, 2763, 3991, 11973

Step-4: Factors of 35938

List of positive integer factors of 35938 that divides 35919 without a remainder.

1, 2, 7, 14, 17, 34, 119, 151, 238, 302, 1057, 2114, 2567, 5134, 17969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35919 and 35938. The biggest common factor number is the GCF number.
So the greatest common factor 35919 and 35938 is 1.

Also check out the Least Common Multiple of 35919 and 35938