What is the Greatest Common Factor of 35664 and 35678?

Greatest common factor (GCF) of 35664 and 35678 is 2.

GCF(35664,35678) = 2

We will now calculate the prime factors of 35664 and 35678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35664 and 35678.

How to find the GCF of 35664 and 35678?

We will first find the prime factorization of 35664 and 35678. After we will calculate the factors of 35664 and 35678 and find the biggest common factor number .

Step-1: Prime Factorization of 35664

Prime factors of 35664 are 2, 3, 743. Prime factorization of 35664 in exponential form is:

35664 = 2⁴ × 3¹ × 743¹

Step-2: Prime Factorization of 35678

Prime factors of 35678 are 2, 17839. Prime factorization of 35678 in exponential form is:

35678 = 2¹ × 17839¹

Step-3: Factors of 35664

List of positive integer factors of 35664 that divides 35664 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 743, 1486, 2229, 2972, 4458, 5944, 8916, 11888, 17832

Step-4: Factors of 35678

List of positive integer factors of 35678 that divides 35664 without a remainder.

1, 2, 17839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35664 and 35678. The biggest common factor number is the GCF number.
So the greatest common factor 35664 and 35678 is 2.

Also check out the Least Common Multiple of 35664 and 35678