What is the Greatest Common Factor of 75362 and 75368?

Greatest common factor (GCF) of 75362 and 75368 is 2.

GCF(75362,75368) = 2

We will now calculate the prime factors of 75362 and 75368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75362 and 75368.

How to find the GCF of 75362 and 75368?

We will first find the prime factorization of 75362 and 75368. After we will calculate the factors of 75362 and 75368 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 75368

Prime factors of 75368 are 2, 9421. Prime factorization of 75368 in exponential form is:

75368 = 2³ × 9421¹

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 75368

List of positive integer factors of 75368 that divides 75362 without a remainder.

1, 2, 4, 8, 9421, 18842, 37684

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75362 and 75368. The biggest common factor number is the GCF number.
So the greatest common factor 75362 and 75368 is 2.

Also check out the Least Common Multiple of 75362 and 75368