What is the Greatest Common Factor of 75548 and 75562?

Greatest common factor (GCF) of 75548 and 75562 is 2.

GCF(75548,75562) = 2

We will now calculate the prime factors of 75548 and 75562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75548 and 75562.

How to find the GCF of 75548 and 75562?

We will first find the prime factorization of 75548 and 75562. After we will calculate the factors of 75548 and 75562 and find the biggest common factor number .

Step-1: Prime Factorization of 75548

Prime factors of 75548 are 2, 11, 17, 101. Prime factorization of 75548 in exponential form is:

75548 = 2² × 11¹ × 17¹ × 101¹

Step-2: Prime Factorization of 75562

Prime factors of 75562 are 2, 37781. Prime factorization of 75562 in exponential form is:

75562 = 2¹ × 37781¹

Step-3: Factors of 75548

List of positive integer factors of 75548 that divides 75548 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 101, 187, 202, 374, 404, 748, 1111, 1717, 2222, 3434, 4444, 6868, 18887, 37774

Step-4: Factors of 75562

List of positive integer factors of 75562 that divides 75548 without a remainder.

1, 2, 37781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75548 and 75562. The biggest common factor number is the GCF number.
So the greatest common factor 75548 and 75562 is 2.

Also check out the Least Common Multiple of 75548 and 75562