What is the Greatest Common Factor of 76290 and 76294?

Greatest common factor (GCF) of 76290 and 76294 is 2.

GCF(76290,76294) = 2

We will now calculate the prime factors of 76290 and 76294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76290 and 76294.

How to find the GCF of 76290 and 76294?

We will first find the prime factorization of 76290 and 76294. After we will calculate the factors of 76290 and 76294 and find the biggest common factor number .

Step-1: Prime Factorization of 76290

Prime factors of 76290 are 2, 3, 5, 2543. Prime factorization of 76290 in exponential form is:

76290 = 2¹ × 3¹ × 5¹ × 2543¹

Step-2: Prime Factorization of 76294

Prime factors of 76294 are 2, 37, 1031. Prime factorization of 76294 in exponential form is:

76294 = 2¹ × 37¹ × 1031¹

Step-3: Factors of 76290

List of positive integer factors of 76290 that divides 76290 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2543, 5086, 7629, 12715, 15258, 25430, 38145

Step-4: Factors of 76294

List of positive integer factors of 76294 that divides 76290 without a remainder.

1, 2, 37, 74, 1031, 2062, 38147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76290 and 76294. The biggest common factor number is the GCF number.
So the greatest common factor 76290 and 76294 is 2.

Also check out the Least Common Multiple of 76290 and 76294