What is the Greatest Common Factor of 74480 and 74496?

Greatest common factor (GCF) of 74480 and 74496 is 16.

GCF(74480,74496) = 16

We will now calculate the prime factors of 74480 and 74496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74480 and 74496.

How to find the GCF of 74480 and 74496?

We will first find the prime factorization of 74480 and 74496. After we will calculate the factors of 74480 and 74496 and find the biggest common factor number .

Step-1: Prime Factorization of 74480

Prime factors of 74480 are 2, 5, 7, 19. Prime factorization of 74480 in exponential form is:

74480 = 2⁴ × 5¹ × 7² × 19¹

Step-2: 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-3: Factors of 74480

List of positive integer factors of 74480 that divides 74480 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 19, 20, 28, 35, 38, 40, 49, 56, 70, 76, 80, 95, 98, 112, 133, 140, 152, 190, 196, 245, 266, 280, 304, 380, 392, 490, 532, 560, 665, 760, 784, 931, 980, 1064, 1330, 1520, 1862, 1960, 2128, 2660, 3724, 3920, 4655, 5320, 7448, 9310, 10640, 14896, 18620, 37240

Step-4: Factors of 74496

List of positive integer factors of 74496 that divides 74480 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74480 and 74496. The biggest common factor number is the GCF number.
So the greatest common factor 74480 and 74496 is 16.

Also check out the Least Common Multiple of 74480 and 74496