What is the Greatest Common Factor of 35919 and 35934?

Greatest common factor (GCF) of 35919 and 35934 is 3.

GCF(35919,35934) = 3

We will now calculate the prime factors of 35919 and 35934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35919 and 35934.

How to find the GCF of 35919 and 35934?

We will first find the prime factorization of 35919 and 35934. After we will calculate the factors of 35919 and 35934 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 35934

Prime factors of 35934 are 2, 3, 53, 113. Prime factorization of 35934 in exponential form is:

35934 = 2¹ × 3¹ × 53¹ × 113¹

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 35934

List of positive integer factors of 35934 that divides 35919 without a remainder.

1, 2, 3, 6, 53, 106, 113, 159, 226, 318, 339, 678, 5989, 11978, 17967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35919 and 35934. The biggest common factor number is the GCF number.
So the greatest common factor 35919 and 35934 is 3.

Also check out the Least Common Multiple of 35919 and 35934