What is the Greatest Common Factor of 75578 and 75584?

Greatest common factor (GCF) of 75578 and 75584 is 2.

GCF(75578,75584) = 2

We will now calculate the prime factors of 75578 and 75584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75578 and 75584.

How to find the GCF of 75578 and 75584?

We will first find the prime factorization of 75578 and 75584. After we will calculate the factors of 75578 and 75584 and find the biggest common factor number .

Step-1: Prime Factorization of 75578

Prime factors of 75578 are 2, 23, 31, 53. Prime factorization of 75578 in exponential form is:

75578 = 2¹ × 23¹ × 31¹ × 53¹

Step-2: Prime Factorization of 75584

Prime factors of 75584 are 2, 1181. Prime factorization of 75584 in exponential form is:

75584 = 2⁶ × 1181¹

Step-3: Factors of 75578

List of positive integer factors of 75578 that divides 75578 without a remainder.

1, 2, 23, 31, 46, 53, 62, 106, 713, 1219, 1426, 1643, 2438, 3286, 37789

Step-4: Factors of 75584

List of positive integer factors of 75584 that divides 75578 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1181, 2362, 4724, 9448, 18896, 37792

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75578 and 75584. The biggest common factor number is the GCF number.
So the greatest common factor 75578 and 75584 is 2.

Also check out the Least Common Multiple of 75578 and 75584