What is the Greatest Common Factor of 75362 and 75366?

Greatest common factor (GCF) of 75362 and 75366 is 2.

GCF(75362,75366) = 2

We will now calculate the prime factors of 75362 and 75366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75362 and 75366.

How to find the GCF of 75362 and 75366?

We will first find the prime factorization of 75362 and 75366. After we will calculate the factors of 75362 and 75366 and find the biggest common factor number .

Step-1: Prime Factorization of 75362

Prime factors of 75362 are 2, 7, 769. Prime factorization of 75362 in exponential form is:

75362 = 2¹ × 7² × 769¹

Step-2: Prime Factorization of 75366

Prime factors of 75366 are 2, 3, 53, 79. Prime factorization of 75366 in exponential form is:

75366 = 2¹ × 3² × 53¹ × 79¹

Step-3: Factors of 75362

List of positive integer factors of 75362 that divides 75362 without a remainder.

1, 2, 7, 14, 49, 98, 769, 1538, 5383, 10766, 37681

Step-4: Factors of 75366

List of positive integer factors of 75366 that divides 75362 without a remainder.

1, 2, 3, 6, 9, 18, 53, 79, 106, 158, 159, 237, 318, 474, 477, 711, 954, 1422, 4187, 8374, 12561, 25122, 37683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75362 and 75366. The biggest common factor number is the GCF number.
So the greatest common factor 75362 and 75366 is 2.

Also check out the Least Common Multiple of 75362 and 75366