What is the Greatest Common Factor of 72054 and 72068?

Greatest common factor (GCF) of 72054 and 72068 is 2.

GCF(72054,72068) = 2

We will now calculate the prime factors of 72054 and 72068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72054 and 72068.

How to find the GCF of 72054 and 72068?

We will first find the prime factorization of 72054 and 72068. After we will calculate the factors of 72054 and 72068 and find the biggest common factor number .

Step-1: Prime Factorization of 72054

Prime factors of 72054 are 2, 3, 4003. Prime factorization of 72054 in exponential form is:

72054 = 2¹ × 3² × 4003¹

Step-2: Prime Factorization of 72068

Prime factors of 72068 are 2, 43, 419. Prime factorization of 72068 in exponential form is:

72068 = 2² × 43¹ × 419¹

Step-3: Factors of 72054

List of positive integer factors of 72054 that divides 72054 without a remainder.

1, 2, 3, 6, 9, 18, 4003, 8006, 12009, 24018, 36027

Step-4: Factors of 72068

List of positive integer factors of 72068 that divides 72054 without a remainder.

1, 2, 4, 43, 86, 172, 419, 838, 1676, 18017, 36034

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72054 and 72068. The biggest common factor number is the GCF number.
So the greatest common factor 72054 and 72068 is 2.

Also check out the Least Common Multiple of 72054 and 72068