What is the Greatest Common Factor of 45743 and 45761?

Greatest common factor (GCF) of 45743 and 45761 is 1.

GCF(45743,45761) = 1

We will now calculate the prime factors of 45743 and 45761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45743 and 45761.

How to find the GCF of 45743 and 45761?

We will first find the prime factorization of 45743 and 45761. After we will calculate the factors of 45743 and 45761 and find the biggest common factor number .

Step-1: Prime Factorization of 45743

Prime factors of 45743 are 149, 307. Prime factorization of 45743 in exponential form is:

45743 = 149¹ × 307¹

Step-2: Prime Factorization of 45761

Prime factors of 45761 are 67, 683. Prime factorization of 45761 in exponential form is:

45761 = 67¹ × 683¹

Step-3: Factors of 45743

List of positive integer factors of 45743 that divides 45743 without a remainder.

1, 149, 307

Step-4: Factors of 45761

List of positive integer factors of 45761 that divides 45743 without a remainder.

1, 67, 683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45743 and 45761. The biggest common factor number is the GCF number.
So the greatest common factor 45743 and 45761 is 1.

Also check out the Least Common Multiple of 45743 and 45761