What is the Greatest Common Factor of 45924 and 45933?

Greatest common factor (GCF) of 45924 and 45933 is 3.

GCF(45924,45933) = 3

We will now calculate the prime factors of 45924 and 45933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45924 and 45933.

How to find the GCF of 45924 and 45933?

We will first find the prime factorization of 45924 and 45933. After we will calculate the factors of 45924 and 45933 and find the biggest common factor number .

Step-1: Prime Factorization of 45924

Prime factors of 45924 are 2, 3, 43, 89. Prime factorization of 45924 in exponential form is:

45924 = 2² × 3¹ × 43¹ × 89¹

Step-2: Prime Factorization of 45933

Prime factors of 45933 are 3, 61, 251. Prime factorization of 45933 in exponential form is:

45933 = 3¹ × 61¹ × 251¹

Step-3: Factors of 45924

List of positive integer factors of 45924 that divides 45924 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 89, 129, 172, 178, 258, 267, 356, 516, 534, 1068, 3827, 7654, 11481, 15308, 22962

Step-4: Factors of 45933

List of positive integer factors of 45933 that divides 45924 without a remainder.

1, 3, 61, 183, 251, 753, 15311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45924 and 45933. The biggest common factor number is the GCF number.
So the greatest common factor 45924 and 45933 is 3.

Also check out the Least Common Multiple of 45924 and 45933