What is the Greatest Common Factor of 72744 and 72753?

Greatest common factor (GCF) of 72744 and 72753 is 3.

GCF(72744,72753) = 3

We will now calculate the prime factors of 72744 and 72753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72744 and 72753.

How to find the GCF of 72744 and 72753?

We will first find the prime factorization of 72744 and 72753. After we will calculate the factors of 72744 and 72753 and find the biggest common factor number .

Step-1: Prime Factorization of 72744

Prime factors of 72744 are 2, 3, 7, 433. Prime factorization of 72744 in exponential form is:

72744 = 2³ × 3¹ × 7¹ × 433¹

Step-2: Prime Factorization of 72753

Prime factors of 72753 are 3, 24251. Prime factorization of 72753 in exponential form is:

72753 = 3¹ × 24251¹

Step-3: Factors of 72744

List of positive integer factors of 72744 that divides 72744 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 433, 866, 1299, 1732, 2598, 3031, 3464, 5196, 6062, 9093, 10392, 12124, 18186, 24248, 36372

Step-4: Factors of 72753

List of positive integer factors of 72753 that divides 72744 without a remainder.

1, 3, 24251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72744 and 72753. The biggest common factor number is the GCF number.
So the greatest common factor 72744 and 72753 is 3.

Also check out the Least Common Multiple of 72744 and 72753