What is the Greatest Common Factor of 45724 and 45744?

Greatest common factor (GCF) of 45724 and 45744 is 4.

GCF(45724,45744) = 4

We will now calculate the prime factors of 45724 and 45744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45724 and 45744.

How to find the GCF of 45724 and 45744?

We will first find the prime factorization of 45724 and 45744. After we will calculate the factors of 45724 and 45744 and find the biggest common factor number .

Step-1: Prime Factorization of 45724

Prime factors of 45724 are 2, 7, 23, 71. Prime factorization of 45724 in exponential form is:

45724 = 2² × 7¹ × 23¹ × 71¹

Step-2: Prime Factorization of 45744

Prime factors of 45744 are 2, 3, 953. Prime factorization of 45744 in exponential form is:

45744 = 2⁴ × 3¹ × 953¹

Step-3: Factors of 45724

List of positive integer factors of 45724 that divides 45724 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 71, 92, 142, 161, 284, 322, 497, 644, 994, 1633, 1988, 3266, 6532, 11431, 22862

Step-4: Factors of 45744

List of positive integer factors of 45744 that divides 45724 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 953, 1906, 2859, 3812, 5718, 7624, 11436, 15248, 22872

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45724 and 45744. The biggest common factor number is the GCF number.
So the greatest common factor 45724 and 45744 is 4.

Also check out the Least Common Multiple of 45724 and 45744