What is the Greatest Common Factor of 72054 and 72065?

Greatest common factor (GCF) of 72054 and 72065 is 1.

GCF(72054,72065) = 1

We will now calculate the prime factors of 72054 and 72065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72054 and 72065.

How to find the GCF of 72054 and 72065?

We will first find the prime factorization of 72054 and 72065. After we will calculate the factors of 72054 and 72065 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 72065

Prime factors of 72065 are 5, 7, 29, 71. Prime factorization of 72065 in exponential form is:

72065 = 5¹ × 7¹ × 29¹ × 71¹

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 72065

List of positive integer factors of 72065 that divides 72054 without a remainder.

1, 5, 7, 29, 35, 71, 145, 203, 355, 497, 1015, 2059, 2485, 10295, 14413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72054 and 72065. The biggest common factor number is the GCF number.
So the greatest common factor 72054 and 72065 is 1.

Also check out the Least Common Multiple of 72054 and 72065