What is the Greatest Common Factor of 70275 and 70285?

Greatest common factor (GCF) of 70275 and 70285 is 5.

GCF(70275,70285) = 5

We will now calculate the prime factors of 70275 and 70285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70275 and 70285.

How to find the GCF of 70275 and 70285?

We will first find the prime factorization of 70275 and 70285. After we will calculate the factors of 70275 and 70285 and find the biggest common factor number .

Step-1: Prime Factorization of 70275

Prime factors of 70275 are 3, 5, 937. Prime factorization of 70275 in exponential form is:

70275 = 3¹ × 5² × 937¹

Step-2: Prime Factorization of 70285

Prime factors of 70285 are 5, 14057. Prime factorization of 70285 in exponential form is:

70285 = 5¹ × 14057¹

Step-3: Factors of 70275

List of positive integer factors of 70275 that divides 70275 without a remainder.

1, 3, 5, 15, 25, 75, 937, 2811, 4685, 14055, 23425

Step-4: Factors of 70285

List of positive integer factors of 70285 that divides 70275 without a remainder.

1, 5, 14057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70275 and 70285. The biggest common factor number is the GCF number.
So the greatest common factor 70275 and 70285 is 5.

Also check out the Least Common Multiple of 70275 and 70285