What is the Greatest Common Factor of 70810 and 70825?

Greatest common factor (GCF) of 70810 and 70825 is 5.

GCF(70810,70825) = 5

We will now calculate the prime factors of 70810 and 70825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70810 and 70825.

How to find the GCF of 70810 and 70825?

We will first find the prime factorization of 70810 and 70825. After we will calculate the factors of 70810 and 70825 and find the biggest common factor number .

Step-1: Prime Factorization of 70810

Prime factors of 70810 are 2, 5, 73, 97. Prime factorization of 70810 in exponential form is:

70810 = 2¹ × 5¹ × 73¹ × 97¹

Step-2: Prime Factorization of 70825

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

70825 = 5² × 2833¹

Step-3: Factors of 70810

List of positive integer factors of 70810 that divides 70810 without a remainder.

1, 2, 5, 10, 73, 97, 146, 194, 365, 485, 730, 970, 7081, 14162, 35405

Step-4: Factors of 70825

List of positive integer factors of 70825 that divides 70810 without a remainder.

1, 5, 25, 2833, 14165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70810 and 70825. The biggest common factor number is the GCF number.
So the greatest common factor 70810 and 70825 is 5.

Also check out the Least Common Multiple of 70810 and 70825