What is the Greatest Common Factor of 74430 and 74448?

Greatest common factor (GCF) of 74430 and 74448 is 18.

GCF(74430,74448) = 18

We will now calculate the prime factors of 74430 and 74448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74430 and 74448.

How to find the GCF of 74430 and 74448?

We will first find the prime factorization of 74430 and 74448. After we will calculate the factors of 74430 and 74448 and find the biggest common factor number .

Step-1: Prime Factorization of 74430

Prime factors of 74430 are 2, 3, 5, 827. Prime factorization of 74430 in exponential form is:

74430 = 2¹ × 3² × 5¹ × 827¹

Step-2: Prime Factorization of 74448

Prime factors of 74448 are 2, 3, 11, 47. Prime factorization of 74448 in exponential form is:

74448 = 2⁴ × 3² × 11¹ × 47¹

Step-3: Factors of 74430

List of positive integer factors of 74430 that divides 74430 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 827, 1654, 2481, 4135, 4962, 7443, 8270, 12405, 14886, 24810, 37215

Step-4: Factors of 74448

List of positive integer factors of 74448 that divides 74430 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44, 47, 48, 66, 72, 88, 94, 99, 132, 141, 144, 176, 188, 198, 264, 282, 376, 396, 423, 517, 528, 564, 752, 792, 846, 1034, 1128, 1551, 1584, 1692, 2068, 2256, 3102, 3384, 4136, 4653, 6204, 6768, 8272, 9306, 12408, 18612, 24816, 37224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74430 and 74448. The biggest common factor number is the GCF number.
So the greatest common factor 74430 and 74448 is 18.

Also check out the Least Common Multiple of 74430 and 74448