What is the Greatest Common Factor of 76470 and 76488?

Greatest common factor (GCF) of 76470 and 76488 is 6.

GCF(76470,76488) = 6

We will now calculate the prime factors of 76470 and 76488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76470 and 76488.

How to find the GCF of 76470 and 76488?

We will first find the prime factorization of 76470 and 76488. After we will calculate the factors of 76470 and 76488 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 76488

Prime factors of 76488 are 2, 3, 3187. Prime factorization of 76488 in exponential form is:

76488 = 2³ × 3¹ × 3187¹

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 76488

List of positive integer factors of 76488 that divides 76470 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3187, 6374, 9561, 12748, 19122, 25496, 38244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76470 and 76488. The biggest common factor number is the GCF number.
So the greatest common factor 76470 and 76488 is 6.

Also check out the Least Common Multiple of 76470 and 76488