What is the Greatest Common Factor of 72744 and 72750?

Greatest common factor (GCF) of 72744 and 72750 is 6.

GCF(72744,72750) = 6

We will now calculate the prime factors of 72744 and 72750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72744 and 72750.

How to find the GCF of 72744 and 72750?

We will first find the prime factorization of 72744 and 72750. After we will calculate the factors of 72744 and 72750 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 72750

Prime factors of 72750 are 2, 3, 5, 97. Prime factorization of 72750 in exponential form is:

72750 = 2¹ × 3¹ × 5³ × 97¹

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 72750

List of positive integer factors of 72750 that divides 72744 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 97, 125, 150, 194, 250, 291, 375, 485, 582, 750, 970, 1455, 2425, 2910, 4850, 7275, 12125, 14550, 24250, 36375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72744 and 72750. The biggest common factor number is the GCF number.
So the greatest common factor 72744 and 72750 is 6.

Also check out the Least Common Multiple of 72744 and 72750