What is the Greatest Common Factor of 74496 and 74505?

Greatest common factor (GCF) of 74496 and 74505 is 3.

GCF(74496,74505) = 3

We will now calculate the prime factors of 74496 and 74505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74496 and 74505.

How to find the GCF of 74496 and 74505?

We will first find the prime factorization of 74496 and 74505. After we will calculate the factors of 74496 and 74505 and find the biggest common factor number .

Step-1: Prime Factorization of 74496

Prime factors of 74496 are 2, 3, 97. Prime factorization of 74496 in exponential form is:

74496 = 2⁸ × 3¹ × 97¹

Step-2: Prime Factorization of 74505

Prime factors of 74505 are 3, 5, 4967. Prime factorization of 74505 in exponential form is:

74505 = 3¹ × 5¹ × 4967¹

Step-3: Factors of 74496

List of positive integer factors of 74496 that divides 74496 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 97, 128, 192, 194, 256, 291, 384, 388, 582, 768, 776, 1164, 1552, 2328, 3104, 4656, 6208, 9312, 12416, 18624, 24832, 37248

Step-4: Factors of 74505

List of positive integer factors of 74505 that divides 74496 without a remainder.

1, 3, 5, 15, 4967, 14901, 24835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74496 and 74505. The biggest common factor number is the GCF number.
So the greatest common factor 74496 and 74505 is 3.

Also check out the Least Common Multiple of 74496 and 74505