What is the Greatest Common Factor of 78152 and 78170?

Greatest common factor (GCF) of 78152 and 78170 is 2.

GCF(78152,78170) = 2

We will now calculate the prime factors of 78152 and 78170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78152 and 78170.

How to find the GCF of 78152 and 78170?

We will first find the prime factorization of 78152 and 78170. After we will calculate the factors of 78152 and 78170 and find the biggest common factor number .

Step-1: Prime Factorization of 78152

Prime factors of 78152 are 2, 9769. Prime factorization of 78152 in exponential form is:

78152 = 2³ × 9769¹

Step-2: Prime Factorization of 78170

Prime factors of 78170 are 2, 5, 7817. Prime factorization of 78170 in exponential form is:

78170 = 2¹ × 5¹ × 7817¹

Step-3: Factors of 78152

List of positive integer factors of 78152 that divides 78152 without a remainder.

1, 2, 4, 8, 9769, 19538, 39076

Step-4: Factors of 78170

List of positive integer factors of 78170 that divides 78152 without a remainder.

1, 2, 5, 10, 7817, 15634, 39085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78152 and 78170. The biggest common factor number is the GCF number.
So the greatest common factor 78152 and 78170 is 2.

Also check out the Least Common Multiple of 78152 and 78170