What is the Greatest Common Factor of 75574 and 75578?

Greatest common factor (GCF) of 75574 and 75578 is 2.

GCF(75574,75578) = 2

We will now calculate the prime factors of 75574 and 75578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75574 and 75578.

How to find the GCF of 75574 and 75578?

We will first find the prime factorization of 75574 and 75578. After we will calculate the factors of 75574 and 75578 and find the biggest common factor number .

Step-1: Prime Factorization of 75574

Prime factors of 75574 are 2, 29, 1303. Prime factorization of 75574 in exponential form is:

75574 = 2¹ × 29¹ × 1303¹

Step-2: 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-3: Factors of 75574

List of positive integer factors of 75574 that divides 75574 without a remainder.

1, 2, 29, 58, 1303, 2606, 37787

Step-4: Factors of 75578

List of positive integer factors of 75578 that divides 75574 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75574 and 75578. The biggest common factor number is the GCF number.
So the greatest common factor 75574 and 75578 is 2.

Also check out the Least Common Multiple of 75574 and 75578