What is the Greatest Common Factor of 70825 and 70831?

Greatest common factor (GCF) of 70825 and 70831 is 1.

GCF(70825,70831) = 1

We will now calculate the prime factors of 70825 and 70831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70825 and 70831.

How to find the GCF of 70825 and 70831?

We will first find the prime factorization of 70825 and 70831. After we will calculate the factors of 70825 and 70831 and find the biggest common factor number .

Step-1: Prime Factorization of 70825

Prime factors of 70825 are 5, 2833. Prime factorization of 70825 in exponential form is:

70825 = 5² × 2833¹

Step-2: Prime Factorization of 70831

Prime factors of 70831 are 193, 367. Prime factorization of 70831 in exponential form is:

70831 = 193¹ × 367¹

Step-3: Factors of 70825

List of positive integer factors of 70825 that divides 70825 without a remainder.

1, 5, 25, 2833, 14165

Step-4: Factors of 70831

List of positive integer factors of 70831 that divides 70825 without a remainder.

1, 193, 367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70825 and 70831. The biggest common factor number is the GCF number.
So the greatest common factor 70825 and 70831 is 1.

Also check out the Least Common Multiple of 70825 and 70831