What is the Greatest Common Factor of 741 and 752?

Greatest common factor (GCF) of 741 and 752 is 1.

GCF(741,752) = 1

We will now calculate the prime factors of 741 and 752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 741 and 752.

How to find the GCF of 741 and 752?

We will first find the prime factorization of 741 and 752. After we will calculate the factors of 741 and 752 and find the biggest common factor number .

Step-1: Prime Factorization of 741

Prime factors of 741 are 3, 13, 19. Prime factorization of 741 in exponential form is:

741 = 3¹ × 13¹ × 19¹

Step-2: Prime Factorization of 752

Prime factors of 752 are 2, 47. Prime factorization of 752 in exponential form is:

752 = 2⁴ × 47¹

Step-3: Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247

Step-4: Factors of 752

List of positive integer factors of 752 that divides 741 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 741 and 752. The biggest common factor number is the GCF number.
So the greatest common factor 741 and 752 is 1.

Also check out the Least Common Multiple of 741 and 752