What is the Greatest Common Factor of 45745 and 45758?

Greatest common factor (GCF) of 45745 and 45758 is 1.

GCF(45745,45758) = 1

We will now calculate the prime factors of 45745 and 45758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45745 and 45758.

How to find the GCF of 45745 and 45758?

We will first find the prime factorization of 45745 and 45758. After we will calculate the factors of 45745 and 45758 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45758

Prime factors of 45758 are 2, 137, 167. Prime factorization of 45758 in exponential form is:

45758 = 2¹ × 137¹ × 167¹

Step-3: Factors of 45745

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

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

Step-4: Factors of 45758

List of positive integer factors of 45758 that divides 45745 without a remainder.

1, 2, 137, 167, 274, 334, 22879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45745 and 45758. The biggest common factor number is the GCF number.
So the greatest common factor 45745 and 45758 is 1.

Also check out the Least Common Multiple of 45745 and 45758