What is the Greatest Common Factor of 45731 and 45745?

Greatest common factor (GCF) of 45731 and 45745 is 7.

GCF(45731,45745) = 7

We will now calculate the prime factors of 45731 and 45745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45731 and 45745.

How to find the GCF of 45731 and 45745?

We will first find the prime factorization of 45731 and 45745. After we will calculate the factors of 45731 and 45745 and find the biggest common factor number .

Step-1: Prime Factorization of 45731

Prime factors of 45731 are 7, 47, 139. Prime factorization of 45731 in exponential form is:

45731 = 7¹ × 47¹ × 139¹

Step-2: Prime Factorization of 45745

Prime factors of 45745 are 5, 7, 1307. Prime factorization of 45745 in exponential form is:

45745 = 5¹ × 7¹ × 1307¹

Step-3: Factors of 45731

List of positive integer factors of 45731 that divides 45731 without a remainder.

1, 7, 47, 139, 329, 973, 6533

Step-4: Factors of 45745

List of positive integer factors of 45745 that divides 45731 without a remainder.

1, 5, 7, 35, 1307, 6535, 9149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45731 and 45745. The biggest common factor number is the GCF number.
So the greatest common factor 45731 and 45745 is 7.

Also check out the Least Common Multiple of 45731 and 45745