What is the Greatest Common Factor of 750 and 767?

Greatest common factor (GCF) of 750 and 767 is 1.

GCF(750,767) = 1

We will now calculate the prime factors of 750 and 767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 750 and 767.

How to find the GCF of 750 and 767?

We will first find the prime factorization of 750 and 767. After we will calculate the factors of 750 and 767 and find the biggest common factor number .

Step-1: Prime Factorization of 750

Prime factors of 750 are 2, 3, 5. Prime factorization of 750 in exponential form is:

750 = 2¹ × 3¹ × 5³

Step-2: Prime Factorization of 767

Prime factors of 767 are 13, 59. Prime factorization of 767 in exponential form is:

767 = 13¹ × 59¹

Step-3: Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375

Step-4: Factors of 767

List of positive integer factors of 767 that divides 750 without a remainder.

1, 13, 59

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 750 and 767. The biggest common factor number is the GCF number.
So the greatest common factor 750 and 767 is 1.

Also check out the Least Common Multiple of 750 and 767