What is the Greatest Common Factor of 74436 and 74448?

Greatest common factor (GCF) of 74436 and 74448 is 12.

GCF(74436,74448) = 12

We will now calculate the prime factors of 74436 and 74448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74436 and 74448.

How to find the GCF of 74436 and 74448?

We will first find the prime factorization of 74436 and 74448. After we will calculate the factors of 74436 and 74448 and find the biggest common factor number .

Step-1: Prime Factorization of 74436

Prime factors of 74436 are 2, 3, 6203. Prime factorization of 74436 in exponential form is:

74436 = 2² × 3¹ × 6203¹

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 74436

List of positive integer factors of 74436 that divides 74436 without a remainder.

1, 2, 3, 4, 6, 12, 6203, 12406, 18609, 24812, 37218

Step-4: Factors of 74448

List of positive integer factors of 74448 that divides 74436 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 74436 and 74448. The biggest common factor number is the GCF number.
So the greatest common factor 74436 and 74448 is 12.

Also check out the Least Common Multiple of 74436 and 74448