What is the Greatest Common Factor of 78252 and 78270?

Greatest common factor (GCF) of 78252 and 78270 is 6.

GCF(78252,78270) = 6

We will now calculate the prime factors of 78252 and 78270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78252 and 78270.

How to find the GCF of 78252 and 78270?

We will first find the prime factorization of 78252 and 78270. After we will calculate the factors of 78252 and 78270 and find the biggest common factor number .

Step-1: Prime Factorization of 78252

Prime factors of 78252 are 2, 3, 6521. Prime factorization of 78252 in exponential form is:

78252 = 2² × 3¹ × 6521¹

Step-2: Prime Factorization of 78270

Prime factors of 78270 are 2, 3, 5, 2609. Prime factorization of 78270 in exponential form is:

78270 = 2¹ × 3¹ × 5¹ × 2609¹

Step-3: Factors of 78252

List of positive integer factors of 78252 that divides 78252 without a remainder.

1, 2, 3, 4, 6, 12, 6521, 13042, 19563, 26084, 39126

Step-4: Factors of 78270

List of positive integer factors of 78270 that divides 78252 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2609, 5218, 7827, 13045, 15654, 26090, 39135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78252 and 78270. The biggest common factor number is the GCF number.
So the greatest common factor 78252 and 78270 is 6.

Also check out the Least Common Multiple of 78252 and 78270