What is the Greatest Common Factor of 75504 and 75521?

Greatest common factor (GCF) of 75504 and 75521 is 1.

GCF(75504,75521) = 1

We will now calculate the prime factors of 75504 and 75521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75504 and 75521.

How to find the GCF of 75504 and 75521?

We will first find the prime factorization of 75504 and 75521. After we will calculate the factors of 75504 and 75521 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75521

Prime factors of 75521 are 75521. Prime factorization of 75521 in exponential form is:

75521 = 75521¹

Step-3: Factors of 75504

List of positive integer factors of 75504 that divides 75504 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

Step-4: Factors of 75521

List of positive integer factors of 75521 that divides 75504 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75504 and 75521. The biggest common factor number is the GCF number.
So the greatest common factor 75504 and 75521 is 1.

Also check out the Least Common Multiple of 75504 and 75521