What is the Greatest Common Factor of 45924 and 45938?

Greatest common factor (GCF) of 45924 and 45938 is 2.

GCF(45924,45938) = 2

We will now calculate the prime factors of 45924 and 45938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45924 and 45938.

How to find the GCF of 45924 and 45938?

We will first find the prime factorization of 45924 and 45938. After we will calculate the factors of 45924 and 45938 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 45938

Prime factors of 45938 are 2, 103, 223. Prime factorization of 45938 in exponential form is:

45938 = 2¹ × 103¹ × 223¹

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 45938

List of positive integer factors of 45938 that divides 45924 without a remainder.

1, 2, 103, 206, 223, 446, 22969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45924 and 45938. The biggest common factor number is the GCF number.
So the greatest common factor 45924 and 45938 is 2.

Also check out the Least Common Multiple of 45924 and 45938