What is the Greatest Common Factor of 35923 and 35928?

Greatest common factor (GCF) of 35923 and 35928 is 1.

GCF(35923,35928) = 1

We will now calculate the prime factors of 35923 and 35928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35923 and 35928.

How to find the GCF of 35923 and 35928?

We will first find the prime factorization of 35923 and 35928. After we will calculate the factors of 35923 and 35928 and find the biggest common factor number .

Step-1: Prime Factorization of 35923

Prime factors of 35923 are 35923. Prime factorization of 35923 in exponential form is:

35923 = 35923¹

Step-2: 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-3: Factors of 35923

List of positive integer factors of 35923 that divides 35923 without a remainder.

Step-4: Factors of 35928

List of positive integer factors of 35928 that divides 35923 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35923 and 35928. The biggest common factor number is the GCF number.
So the greatest common factor 35923 and 35928 is 1.

Also check out the Least Common Multiple of 35923 and 35928