What is the Greatest Common Factor of 78002 and 78018?

Greatest common factor (GCF) of 78002 and 78018 is 2.

GCF(78002,78018) = 2

We will now calculate the prime factors of 78002 and 78018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78002 and 78018.

How to find the GCF of 78002 and 78018?

We will first find the prime factorization of 78002 and 78018. After we will calculate the factors of 78002 and 78018 and find the biggest common factor number .

Step-1: Prime Factorization of 78002

Prime factors of 78002 are 2, 43, 907. Prime factorization of 78002 in exponential form is:

78002 = 2¹ × 43¹ × 907¹

Step-2: Prime Factorization of 78018

Prime factors of 78018 are 2, 3, 13003. Prime factorization of 78018 in exponential form is:

78018 = 2¹ × 3¹ × 13003¹

Step-3: Factors of 78002

List of positive integer factors of 78002 that divides 78002 without a remainder.

1, 2, 43, 86, 907, 1814, 39001

Step-4: Factors of 78018

List of positive integer factors of 78018 that divides 78002 without a remainder.

1, 2, 3, 6, 13003, 26006, 39009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78002 and 78018. The biggest common factor number is the GCF number.
So the greatest common factor 78002 and 78018 is 2.

Also check out the Least Common Multiple of 78002 and 78018