What is the Greatest Common Factor of 731 and 742?

Greatest common factor (GCF) of 731 and 742 is 1.

GCF(731,742) = 1

We will now calculate the prime factors of 731 and 742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 731 and 742.

How to find the GCF of 731 and 742?

We will first find the prime factorization of 731 and 742. After we will calculate the factors of 731 and 742 and find the biggest common factor number .

Step-1: Prime Factorization of 731

Prime factors of 731 are 17, 43. Prime factorization of 731 in exponential form is:

731 = 17¹ × 43¹

Step-2: Prime Factorization of 742

Prime factors of 742 are 2, 7, 53. Prime factorization of 742 in exponential form is:

742 = 2¹ × 7¹ × 53¹

Step-3: Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1, 17, 43

Step-4: Factors of 742

List of positive integer factors of 742 that divides 731 without a remainder.

1, 2, 7, 14, 53, 106, 371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 731 and 742. The biggest common factor number is the GCF number.
So the greatest common factor 731 and 742 is 1.

Also check out the Least Common Multiple of 731 and 742