What is the Greatest Common Factor of 75488 and 75504?

Greatest common factor (GCF) of 75488 and 75504 is 16.

GCF(75488,75504) = 16

We will now calculate the prime factors of 75488 and 75504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75488 and 75504.

How to find the GCF of 75488 and 75504?

We will first find the prime factorization of 75488 and 75504. After we will calculate the factors of 75488 and 75504 and find the biggest common factor number .

Step-1: Prime Factorization of 75488

Prime factors of 75488 are 2, 7, 337. Prime factorization of 75488 in exponential form is:

75488 = 2⁵ × 7¹ × 337¹

Step-2: Prime Factorization of 75504

Prime factors of 75504 are 2, 3, 11, 13. Prime factorization of 75504 in exponential form is:

75504 = 2⁴ × 3¹ × 11² × 13¹

Step-3: Factors of 75488

List of positive integer factors of 75488 that divides 75488 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 337, 674, 1348, 2359, 2696, 4718, 5392, 9436, 10784, 18872, 37744

Step-4: Factors of 75504

List of positive integer factors of 75504 that divides 75488 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 13, 16, 22, 24, 26, 33, 39, 44, 48, 52, 66, 78, 88, 104, 121, 132, 143, 156, 176, 208, 242, 264, 286, 312, 363, 429, 484, 528, 572, 624, 726, 858, 968, 1144, 1452, 1573, 1716, 1936, 2288, 2904, 3146, 3432, 4719, 5808, 6292, 6864, 9438, 12584, 18876, 25168, 37752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75488 and 75504. The biggest common factor number is the GCF number.
So the greatest common factor 75488 and 75504 is 16.

Also check out the Least Common Multiple of 75488 and 75504