What is the Greatest Common Factor of 73248 and 73254?

Greatest common factor (GCF) of 73248 and 73254 is 6.

GCF(73248,73254) = 6

We will now calculate the prime factors of 73248 and 73254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73248 and 73254.

How to find the GCF of 73248 and 73254?

We will first find the prime factorization of 73248 and 73254. After we will calculate the factors of 73248 and 73254 and find the biggest common factor number .

Step-1: Prime Factorization of 73248

Prime factors of 73248 are 2, 3, 7, 109. Prime factorization of 73248 in exponential form is:

73248 = 2⁵ × 3¹ × 7¹ × 109¹

Step-2: Prime Factorization of 73254

Prime factors of 73254 are 2, 3, 29, 421. Prime factorization of 73254 in exponential form is:

73254 = 2¹ × 3¹ × 29¹ × 421¹

Step-3: Factors of 73248

List of positive integer factors of 73248 that divides 73248 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 109, 112, 168, 218, 224, 327, 336, 436, 654, 672, 763, 872, 1308, 1526, 1744, 2289, 2616, 3052, 3488, 4578, 5232, 6104, 9156, 10464, 12208, 18312, 24416, 36624

Step-4: Factors of 73254

List of positive integer factors of 73254 that divides 73248 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 421, 842, 1263, 2526, 12209, 24418, 36627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73248 and 73254. The biggest common factor number is the GCF number.
So the greatest common factor 73248 and 73254 is 6.

Also check out the Least Common Multiple of 73248 and 73254