What is the Greatest Common Factor of 75726 and 75743?

Greatest common factor (GCF) of 75726 and 75743 is 1.

GCF(75726,75743) = 1

We will now calculate the prime factors of 75726 and 75743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75726 and 75743.

How to find the GCF of 75726 and 75743?

We will first find the prime factorization of 75726 and 75743. After we will calculate the factors of 75726 and 75743 and find the biggest common factor number .

Step-1: Prime Factorization of 75726

Prime factors of 75726 are 2, 3, 7, 601. Prime factorization of 75726 in exponential form is:

75726 = 2¹ × 3² × 7¹ × 601¹

Step-2: Prime Factorization of 75743

Prime factors of 75743 are 75743. Prime factorization of 75743 in exponential form is:

75743 = 75743¹

Step-3: Factors of 75726

List of positive integer factors of 75726 that divides 75726 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 601, 1202, 1803, 3606, 4207, 5409, 8414, 10818, 12621, 25242, 37863

Step-4: Factors of 75743

List of positive integer factors of 75743 that divides 75726 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75726 and 75743. The biggest common factor number is the GCF number.
So the greatest common factor 75726 and 75743 is 1.

Also check out the Least Common Multiple of 75726 and 75743