What is the Greatest Common Factor of 75342 and 75346?

Greatest common factor (GCF) of 75342 and 75346 is 2.

GCF(75342,75346) = 2

We will now calculate the prime factors of 75342 and 75346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75342 and 75346.

How to find the GCF of 75342 and 75346?

We will first find the prime factorization of 75342 and 75346. After we will calculate the factors of 75342 and 75346 and find the biggest common factor number .

Step-1: Prime Factorization of 75342

Prime factors of 75342 are 2, 3, 29, 433. Prime factorization of 75342 in exponential form is:

75342 = 2¹ × 3¹ × 29¹ × 433¹

Step-2: Prime Factorization of 75346

Prime factors of 75346 are 2, 101, 373. Prime factorization of 75346 in exponential form is:

75346 = 2¹ × 101¹ × 373¹

Step-3: Factors of 75342

List of positive integer factors of 75342 that divides 75342 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 433, 866, 1299, 2598, 12557, 25114, 37671

Step-4: Factors of 75346

List of positive integer factors of 75346 that divides 75342 without a remainder.

1, 2, 101, 202, 373, 746, 37673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75342 and 75346. The biggest common factor number is the GCF number.
So the greatest common factor 75342 and 75346 is 2.

Also check out the Least Common Multiple of 75342 and 75346