What is the Greatest Common Factor of 75500 and 75504?

Greatest common factor (GCF) of 75500 and 75504 is 4.

GCF(75500,75504) = 4

We will now calculate the prime factors of 75500 and 75504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75500 and 75504.

How to find the GCF of 75500 and 75504?

We will first find the prime factorization of 75500 and 75504. After we will calculate the factors of 75500 and 75504 and find the biggest common factor number .

Step-1: Prime Factorization of 75500

Prime factors of 75500 are 2, 5, 151. Prime factorization of 75500 in exponential form is:

75500 = 2² × 5³ × 151¹

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 75500

List of positive integer factors of 75500 that divides 75500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 151, 250, 302, 500, 604, 755, 1510, 3020, 3775, 7550, 15100, 18875, 37750

Step-4: Factors of 75504

List of positive integer factors of 75504 that divides 75500 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 75500 and 75504. The biggest common factor number is the GCF number.
So the greatest common factor 75500 and 75504 is 4.

Also check out the Least Common Multiple of 75500 and 75504