What is the Greatest Common Factor of 76750 and 76767?

Greatest common factor (GCF) of 76750 and 76767 is 1.

GCF(76750,76767) = 1

We will now calculate the prime factors of 76750 and 76767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76750 and 76767.

How to find the GCF of 76750 and 76767?

We will first find the prime factorization of 76750 and 76767. After we will calculate the factors of 76750 and 76767 and find the biggest common factor number .

Step-1: Prime Factorization of 76750

Prime factors of 76750 are 2, 5, 307. Prime factorization of 76750 in exponential form is:

76750 = 2¹ × 5³ × 307¹

Step-2: Prime Factorization of 76767

Prime factors of 76767 are 3, 25589. Prime factorization of 76767 in exponential form is:

76767 = 3¹ × 25589¹

Step-3: Factors of 76750

List of positive integer factors of 76750 that divides 76750 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 307, 614, 1535, 3070, 7675, 15350, 38375

Step-4: Factors of 76767

List of positive integer factors of 76767 that divides 76750 without a remainder.

1, 3, 25589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76750 and 76767. The biggest common factor number is the GCF number.
So the greatest common factor 76750 and 76767 is 1.

Also check out the Least Common Multiple of 76750 and 76767