What is the Greatest Common Factor of 75343 and 75363?

Greatest common factor (GCF) of 75343 and 75363 is 1.

GCF(75343,75363) = 1

We will now calculate the prime factors of 75343 and 75363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75343 and 75363.

How to find the GCF of 75343 and 75363?

We will first find the prime factorization of 75343 and 75363. After we will calculate the factors of 75343 and 75363 and find the biggest common factor number .

Step-1: Prime Factorization of 75343

Prime factors of 75343 are 59, 1277. Prime factorization of 75343 in exponential form is:

75343 = 59¹ × 1277¹

Step-2: Prime Factorization of 75363

Prime factors of 75363 are 3, 25121. Prime factorization of 75363 in exponential form is:

75363 = 3¹ × 25121¹

Step-3: Factors of 75343

List of positive integer factors of 75343 that divides 75343 without a remainder.

1, 59, 1277

Step-4: Factors of 75363

List of positive integer factors of 75363 that divides 75343 without a remainder.

1, 3, 25121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75343 and 75363. The biggest common factor number is the GCF number.
So the greatest common factor 75343 and 75363 is 1.

Also check out the Least Common Multiple of 75343 and 75363