What is the Greatest Common Factor of 70365 and 70375?

Greatest common factor (GCF) of 70365 and 70375 is 5.

GCF(70365,70375) = 5

We will now calculate the prime factors of 70365 and 70375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70365 and 70375.

How to find the GCF of 70365 and 70375?

We will first find the prime factorization of 70365 and 70375. After we will calculate the factors of 70365 and 70375 and find the biggest common factor number .

Step-1: Prime Factorization of 70365

Prime factors of 70365 are 3, 5, 4691. Prime factorization of 70365 in exponential form is:

70365 = 3¹ × 5¹ × 4691¹

Step-2: Prime Factorization of 70375

Prime factors of 70375 are 5, 563. Prime factorization of 70375 in exponential form is:

70375 = 5³ × 563¹

Step-3: Factors of 70365

List of positive integer factors of 70365 that divides 70365 without a remainder.

1, 3, 5, 15, 4691, 14073, 23455

Step-4: Factors of 70375

List of positive integer factors of 70375 that divides 70365 without a remainder.

1, 5, 25, 125, 563, 2815, 14075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70365 and 70375. The biggest common factor number is the GCF number.
So the greatest common factor 70365 and 70375 is 5.

Also check out the Least Common Multiple of 70365 and 70375