What is the Greatest Common Factor of 70825 and 70835?

Greatest common factor (GCF) of 70825 and 70835 is 5.

GCF(70825,70835) = 5

We will now calculate the prime factors of 70825 and 70835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70825 and 70835.

How to find the GCF of 70825 and 70835?

We will first find the prime factorization of 70825 and 70835. After we will calculate the factors of 70825 and 70835 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 70835

Prime factors of 70835 are 5, 31, 457. Prime factorization of 70835 in exponential form is:

70835 = 5¹ × 31¹ × 457¹

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 70835

List of positive integer factors of 70835 that divides 70825 without a remainder.

1, 5, 31, 155, 457, 2285, 14167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70825 and 70835. The biggest common factor number is the GCF number.
So the greatest common factor 70825 and 70835 is 5.

Also check out the Least Common Multiple of 70825 and 70835