What is the Greatest Common Factor of 35914 and 35932?

Greatest common factor (GCF) of 35914 and 35932 is 2.

GCF(35914,35932) = 2

We will now calculate the prime factors of 35914 and 35932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35914 and 35932.

How to find the GCF of 35914 and 35932?

We will first find the prime factorization of 35914 and 35932. After we will calculate the factors of 35914 and 35932 and find the biggest common factor number .

Step-1: Prime Factorization of 35914

Prime factors of 35914 are 2, 17957. Prime factorization of 35914 in exponential form is:

35914 = 2¹ × 17957¹

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 35914

List of positive integer factors of 35914 that divides 35914 without a remainder.

1, 2, 17957

Step-4: Factors of 35932

List of positive integer factors of 35932 that divides 35914 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 35914 and 35932. The biggest common factor number is the GCF number.
So the greatest common factor 35914 and 35932 is 2.

Also check out the Least Common Multiple of 35914 and 35932