What is the Greatest Common Factor of 45911 and 45924?

Greatest common factor (GCF) of 45911 and 45924 is 1.

GCF(45911,45924) = 1

We will now calculate the prime factors of 45911 and 45924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45911 and 45924.

How to find the GCF of 45911 and 45924?

We will first find the prime factorization of 45911 and 45924. After we will calculate the factors of 45911 and 45924 and find the biggest common factor number .

Step-1: Prime Factorization of 45911

Prime factors of 45911 are 31, 1481. Prime factorization of 45911 in exponential form is:

45911 = 31¹ × 1481¹

Step-2: 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-3: Factors of 45911

List of positive integer factors of 45911 that divides 45911 without a remainder.

1, 31, 1481

Step-4: Factors of 45924

List of positive integer factors of 45924 that divides 45911 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45911 and 45924. The biggest common factor number is the GCF number.
So the greatest common factor 45911 and 45924 is 1.

Also check out the Least Common Multiple of 45911 and 45924