What is the Greatest Common Factor of 76470 and 76476?

Greatest common factor (GCF) of 76470 and 76476 is 6.

GCF(76470,76476) = 6

We will now calculate the prime factors of 76470 and 76476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76470 and 76476.

How to find the GCF of 76470 and 76476?

We will first find the prime factorization of 76470 and 76476. After we will calculate the factors of 76470 and 76476 and find the biggest common factor number .

Step-1: Prime Factorization of 76470

Prime factors of 76470 are 2, 3, 5, 2549. Prime factorization of 76470 in exponential form is:

76470 = 2¹ × 3¹ × 5¹ × 2549¹

Step-2: Prime Factorization of 76476

Prime factors of 76476 are 2, 3, 6373. Prime factorization of 76476 in exponential form is:

76476 = 2² × 3¹ × 6373¹

Step-3: Factors of 76470

List of positive integer factors of 76470 that divides 76470 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2549, 5098, 7647, 12745, 15294, 25490, 38235

Step-4: Factors of 76476

List of positive integer factors of 76476 that divides 76470 without a remainder.

1, 2, 3, 4, 6, 12, 6373, 12746, 19119, 25492, 38238

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76470 and 76476. The biggest common factor number is the GCF number.
So the greatest common factor 76470 and 76476 is 6.

Also check out the Least Common Multiple of 76470 and 76476