What is the Greatest Common Factor of 35919 and 35932?

Greatest common factor (GCF) of 35919 and 35932 is 13.

GCF(35919,35932) = 13

We will now calculate the prime factors of 35919 and 35932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35919 and 35932.

How to find the GCF of 35919 and 35932?

We will first find the prime factorization of 35919 and 35932. After we will calculate the factors of 35919 and 35932 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 35932

Prime factors of 35932 are 2, 13, 691. Prime factorization of 35932 in exponential form is:

35932 = 2² × 13¹ × 691¹

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 35932

List of positive integer factors of 35932 that divides 35919 without a remainder.

1, 2, 4, 13, 26, 52, 691, 1382, 2764, 8983, 17966

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35919 and 35932. The biggest common factor number is the GCF number.
So the greatest common factor 35919 and 35932 is 13.

Also check out the Least Common Multiple of 35919 and 35932