What is the Greatest Common Factor of 72744 and 72748?

Greatest common factor (GCF) of 72744 and 72748 is 4.

GCF(72744,72748) = 4

We will now calculate the prime factors of 72744 and 72748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72744 and 72748.

How to find the GCF of 72744 and 72748?

We will first find the prime factorization of 72744 and 72748. After we will calculate the factors of 72744 and 72748 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 72748

Prime factors of 72748 are 2, 13, 1399. Prime factorization of 72748 in exponential form is:

72748 = 2² × 13¹ × 1399¹

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 72748

List of positive integer factors of 72748 that divides 72744 without a remainder.

1, 2, 4, 13, 26, 52, 1399, 2798, 5596, 18187, 36374

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72744 and 72748. The biggest common factor number is the GCF number.
So the greatest common factor 72744 and 72748 is 4.

Also check out the Least Common Multiple of 72744 and 72748