What is the Greatest Common Factor of 35928 and 35940?

Greatest common factor (GCF) of 35928 and 35940 is 12.

GCF(35928,35940) = 12

We will now calculate the prime factors of 35928 and 35940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35928 and 35940.

How to find the GCF of 35928 and 35940?

We will first find the prime factorization of 35928 and 35940. After we will calculate the factors of 35928 and 35940 and find the biggest common factor number .

Step-1: Prime Factorization of 35928

Prime factors of 35928 are 2, 3, 499. Prime factorization of 35928 in exponential form is:

35928 = 2³ × 3² × 499¹

Step-2: Prime Factorization of 35940

Prime factors of 35940 are 2, 3, 5, 599. Prime factorization of 35940 in exponential form is:

35940 = 2² × 3¹ × 5¹ × 599¹

Step-3: Factors of 35928

List of positive integer factors of 35928 that divides 35928 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 499, 998, 1497, 1996, 2994, 3992, 4491, 5988, 8982, 11976, 17964

Step-4: Factors of 35940

List of positive integer factors of 35940 that divides 35928 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 599, 1198, 1797, 2396, 2995, 3594, 5990, 7188, 8985, 11980, 17970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35928 and 35940. The biggest common factor number is the GCF number.
So the greatest common factor 35928 and 35940 is 12.

Also check out the Least Common Multiple of 35928 and 35940