What is the Greatest Common Factor of 73254 and 73272?

Greatest common factor (GCF) of 73254 and 73272 is 6.

GCF(73254,73272) = 6

We will now calculate the prime factors of 73254 and 73272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73254 and 73272.

How to find the GCF of 73254 and 73272?

We will first find the prime factorization of 73254 and 73272. After we will calculate the factors of 73254 and 73272 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73272

Prime factors of 73272 are 2, 3, 43, 71. Prime factorization of 73272 in exponential form is:

73272 = 2³ × 3¹ × 43¹ × 71¹

Step-3: Factors of 73254

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

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

Step-4: Factors of 73272

List of positive integer factors of 73272 that divides 73254 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 43, 71, 86, 129, 142, 172, 213, 258, 284, 344, 426, 516, 568, 852, 1032, 1704, 3053, 6106, 9159, 12212, 18318, 24424, 36636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73254 and 73272. The biggest common factor number is the GCF number.
So the greatest common factor 73254 and 73272 is 6.

Also check out the Least Common Multiple of 73254 and 73272