What is the Greatest Common Factor of 75508 and 75526?

Greatest common factor (GCF) of 75508 and 75526 is 2.

GCF(75508,75526) = 2

We will now calculate the prime factors of 75508 and 75526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75508 and 75526.

How to find the GCF of 75508 and 75526?

We will first find the prime factorization of 75508 and 75526. After we will calculate the factors of 75508 and 75526 and find the biggest common factor number .

Step-1: Prime Factorization of 75508

Prime factors of 75508 are 2, 43, 439. Prime factorization of 75508 in exponential form is:

75508 = 2² × 43¹ × 439¹

Step-2: Prime Factorization of 75526

Prime factors of 75526 are 2, 11, 3433. Prime factorization of 75526 in exponential form is:

75526 = 2¹ × 11¹ × 3433¹

Step-3: Factors of 75508

List of positive integer factors of 75508 that divides 75508 without a remainder.

1, 2, 4, 43, 86, 172, 439, 878, 1756, 18877, 37754

Step-4: Factors of 75526

List of positive integer factors of 75526 that divides 75508 without a remainder.

1, 2, 11, 22, 3433, 6866, 37763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75508 and 75526. The biggest common factor number is the GCF number.
So the greatest common factor 75508 and 75526 is 2.

Also check out the Least Common Multiple of 75508 and 75526