What is the Greatest Common Factor of 74448 and 74465?

Greatest common factor (GCF) of 74448 and 74465 is 1.

GCF(74448,74465) = 1

We will now calculate the prime factors of 74448 and 74465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74448 and 74465.

How to find the GCF of 74448 and 74465?

We will first find the prime factorization of 74448 and 74465. After we will calculate the factors of 74448 and 74465 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74465

Prime factors of 74465 are 5, 53, 281. Prime factorization of 74465 in exponential form is:

74465 = 5¹ × 53¹ × 281¹

Step-3: Factors of 74448

List of positive integer factors of 74448 that divides 74448 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

Step-4: Factors of 74465

List of positive integer factors of 74465 that divides 74448 without a remainder.

1, 5, 53, 265, 281, 1405, 14893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74448 and 74465. The biggest common factor number is the GCF number.
So the greatest common factor 74448 and 74465 is 1.

Also check out the Least Common Multiple of 74448 and 74465