What is the Greatest Common Factor of 75730 and 75745?

Greatest common factor (GCF) of 75730 and 75745 is 5.

GCF(75730,75745) = 5

We will now calculate the prime factors of 75730 and 75745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75730 and 75745.

How to find the GCF of 75730 and 75745?

We will first find the prime factorization of 75730 and 75745. After we will calculate the factors of 75730 and 75745 and find the biggest common factor number .

Step-1: Prime Factorization of 75730

Prime factors of 75730 are 2, 5, 7573. Prime factorization of 75730 in exponential form is:

75730 = 2¹ × 5¹ × 7573¹

Step-2: Prime Factorization of 75745

Prime factors of 75745 are 5, 15149. Prime factorization of 75745 in exponential form is:

75745 = 5¹ × 15149¹

Step-3: Factors of 75730

List of positive integer factors of 75730 that divides 75730 without a remainder.

1, 2, 5, 10, 7573, 15146, 37865

Step-4: Factors of 75745

List of positive integer factors of 75745 that divides 75730 without a remainder.

1, 5, 15149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75730 and 75745. The biggest common factor number is the GCF number.
So the greatest common factor 75730 and 75745 is 5.

Also check out the Least Common Multiple of 75730 and 75745