What is the Greatest Common Factor of 76035 and 76053?

Greatest common factor (GCF) of 76035 and 76053 is 3.

GCF(76035,76053) = 3

We will now calculate the prime factors of 76035 and 76053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76035 and 76053.

How to find the GCF of 76035 and 76053?

We will first find the prime factorization of 76035 and 76053. After we will calculate the factors of 76035 and 76053 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 76053

Prime factors of 76053 are 3, 101, 251. Prime factorization of 76053 in exponential form is:

76053 = 3¹ × 101¹ × 251¹

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 76053

List of positive integer factors of 76053 that divides 76035 without a remainder.

1, 3, 101, 251, 303, 753, 25351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76035 and 76053. The biggest common factor number is the GCF number.
So the greatest common factor 76035 and 76053 is 3.

Also check out the Least Common Multiple of 76035 and 76053