What is the Greatest Common Factor of 75514 and 75532?

Greatest common factor (GCF) of 75514 and 75532 is 2.

GCF(75514,75532) = 2

We will now calculate the prime factors of 75514 and 75532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75514 and 75532.

How to find the GCF of 75514 and 75532?

We will first find the prime factorization of 75514 and 75532. After we will calculate the factors of 75514 and 75532 and find the biggest common factor number .

Step-1: Prime Factorization of 75514

Prime factors of 75514 are 2, 17, 2221. Prime factorization of 75514 in exponential form is:

75514 = 2¹ × 17¹ × 2221¹

Step-2: Prime Factorization of 75532

Prime factors of 75532 are 2, 23, 821. Prime factorization of 75532 in exponential form is:

75532 = 2² × 23¹ × 821¹

Step-3: Factors of 75514

List of positive integer factors of 75514 that divides 75514 without a remainder.

1, 2, 17, 34, 2221, 4442, 37757

Step-4: Factors of 75532

List of positive integer factors of 75532 that divides 75514 without a remainder.

1, 2, 4, 23, 46, 92, 821, 1642, 3284, 18883, 37766

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75514 and 75532. The biggest common factor number is the GCF number.
So the greatest common factor 75514 and 75532 is 2.

Also check out the Least Common Multiple of 75514 and 75532