What is the Greatest Common Factor of 76669 and 76674?

Greatest common factor (GCF) of 76669 and 76674 is 1.

GCF(76669,76674) = 1

We will now calculate the prime factors of 76669 and 76674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76669 and 76674.

How to find the GCF of 76669 and 76674?

We will first find the prime factorization of 76669 and 76674. After we will calculate the factors of 76669 and 76674 and find the biggest common factor number .

Step-1: Prime Factorization of 76669

Prime factors of 76669 are 43, 1783. Prime factorization of 76669 in exponential form is:

76669 = 43¹ × 1783¹

Step-2: Prime Factorization of 76674

Prime factors of 76674 are 2, 3, 13, 983. Prime factorization of 76674 in exponential form is:

76674 = 2¹ × 3¹ × 13¹ × 983¹

Step-3: Factors of 76669

List of positive integer factors of 76669 that divides 76669 without a remainder.

1, 43, 1783

Step-4: Factors of 76674

List of positive integer factors of 76674 that divides 76669 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 983, 1966, 2949, 5898, 12779, 25558, 38337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76669 and 76674. The biggest common factor number is the GCF number.
So the greatest common factor 76669 and 76674 is 1.

Also check out the Least Common Multiple of 76669 and 76674