What is the Greatest Common Factor of 45737 and 45750?

Greatest common factor (GCF) of 45737 and 45750 is 1.

GCF(45737,45750) = 1

We will now calculate the prime factors of 45737 and 45750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45737 and 45750.

How to find the GCF of 45737 and 45750?

We will first find the prime factorization of 45737 and 45750. After we will calculate the factors of 45737 and 45750 and find the biggest common factor number .

Step-1: Prime Factorization of 45737

Prime factors of 45737 are 45737. Prime factorization of 45737 in exponential form is:

45737 = 45737¹

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 45737

List of positive integer factors of 45737 that divides 45737 without a remainder.

Step-4: Factors of 45750

List of positive integer factors of 45750 that divides 45737 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 45737 and 45750. The biggest common factor number is the GCF number.
So the greatest common factor 45737 and 45750 is 1.

Also check out the Least Common Multiple of 45737 and 45750