What is the Greatest Common Factor of 76330 and 76349?

Greatest common factor (GCF) of 76330 and 76349 is 1.

GCF(76330,76349) = 1

We will now calculate the prime factors of 76330 and 76349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76330 and 76349.

How to find the GCF of 76330 and 76349?

We will first find the prime factorization of 76330 and 76349. After we will calculate the factors of 76330 and 76349 and find the biggest common factor number .

Step-1: Prime Factorization of 76330

Prime factors of 76330 are 2, 5, 17, 449. Prime factorization of 76330 in exponential form is:

76330 = 2¹ × 5¹ × 17¹ × 449¹

Step-2: Prime Factorization of 76349

Prime factors of 76349 are 7, 13, 839. Prime factorization of 76349 in exponential form is:

76349 = 7¹ × 13¹ × 839¹

Step-3: Factors of 76330

List of positive integer factors of 76330 that divides 76330 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 449, 898, 2245, 4490, 7633, 15266, 38165

Step-4: Factors of 76349

List of positive integer factors of 76349 that divides 76330 without a remainder.

1, 7, 13, 91, 839, 5873, 10907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76330 and 76349. The biggest common factor number is the GCF number.
So the greatest common factor 76330 and 76349 is 1.

Also check out the Least Common Multiple of 76330 and 76349