What is the Greatest Common Factor of 74479 and 74496?

Greatest common factor (GCF) of 74479 and 74496 is 1.

GCF(74479,74496) = 1

We will now calculate the prime factors of 74479 and 74496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74479 and 74496.

How to find the GCF of 74479 and 74496?

We will first find the prime factorization of 74479 and 74496. After we will calculate the factors of 74479 and 74496 and find the biggest common factor number .

Step-1: Prime Factorization of 74479

Prime factors of 74479 are 71, 1049. Prime factorization of 74479 in exponential form is:

74479 = 71¹ × 1049¹

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 74479

List of positive integer factors of 74479 that divides 74479 without a remainder.

1, 71, 1049

Step-4: Factors of 74496

List of positive integer factors of 74496 that divides 74479 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 74479 and 74496. The biggest common factor number is the GCF number.
So the greatest common factor 74479 and 74496 is 1.

Also check out the Least Common Multiple of 74479 and 74496