What is the Greatest Common Factor of 76035 and 76047?

Greatest common factor (GCF) of 76035 and 76047 is 3.

GCF(76035,76047) = 3

We will now calculate the prime factors of 76035 and 76047, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76035 and 76047.

How to find the GCF of 76035 and 76047?

We will first find the prime factorization of 76035 and 76047. After we will calculate the factors of 76035 and 76047 and find the biggest common factor number .

Step-1: Prime Factorization of 76035

Prime factors of 76035 are 3, 5, 37, 137. Prime factorization of 76035 in exponential form is:

76035 = 3¹ × 5¹ × 37¹ × 137¹

Step-2: Prime Factorization of 76047

Prime factors of 76047 are 3, 25349. Prime factorization of 76047 in exponential form is:

76047 = 3¹ × 25349¹

Step-3: Factors of 76035

List of positive integer factors of 76035 that divides 76035 without a remainder.

1, 3, 5, 15, 37, 111, 137, 185, 411, 555, 685, 2055, 5069, 15207, 25345

Step-4: Factors of 76047

List of positive integer factors of 76047 that divides 76035 without a remainder.

1, 3, 25349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76035 and 76047. The biggest common factor number is the GCF number.
So the greatest common factor 76035 and 76047 is 3.

Also check out the Least Common Multiple of 76035 and 76047