What is the Greatest Common Factor of 45740 and 45750?

Greatest common factor (GCF) of 45740 and 45750 is 10.

GCF(45740,45750) = 10

We will now calculate the prime factors of 45740 and 45750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45740 and 45750.

How to find the GCF of 45740 and 45750?

We will first find the prime factorization of 45740 and 45750. After we will calculate the factors of 45740 and 45750 and find the biggest common factor number .

Step-1: Prime Factorization of 45740

Prime factors of 45740 are 2, 5, 2287. Prime factorization of 45740 in exponential form is:

45740 = 2² × 5¹ × 2287¹

Step-2: Prime Factorization of 45750

Prime factors of 45750 are 2, 3, 5, 61. Prime factorization of 45750 in exponential form is:

45750 = 2¹ × 3¹ × 5³ × 61¹

Step-3: Factors of 45740

List of positive integer factors of 45740 that divides 45740 without a remainder.

1, 2, 4, 5, 10, 20, 2287, 4574, 9148, 11435, 22870

Step-4: Factors of 45750

List of positive integer factors of 45750 that divides 45740 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 61, 75, 122, 125, 150, 183, 250, 305, 366, 375, 610, 750, 915, 1525, 1830, 3050, 4575, 7625, 9150, 15250, 22875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45740 and 45750. The biggest common factor number is the GCF number.
So the greatest common factor 45740 and 45750 is 10.

Also check out the Least Common Multiple of 45740 and 45750