What is the Greatest Common Factor of 70825 and 70845?

Greatest common factor (GCF) of 70825 and 70845 is 5.

GCF(70825,70845) = 5

We will now calculate the prime factors of 70825 and 70845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70825 and 70845.

How to find the GCF of 70825 and 70845?

We will first find the prime factorization of 70825 and 70845. After we will calculate the factors of 70825 and 70845 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 70845

Prime factors of 70845 are 3, 5, 4723. Prime factorization of 70845 in exponential form is:

70845 = 3¹ × 5¹ × 4723¹

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 70845

List of positive integer factors of 70845 that divides 70825 without a remainder.

1, 3, 5, 15, 4723, 14169, 23615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70825 and 70845. The biggest common factor number is the GCF number.
So the greatest common factor 70825 and 70845 is 5.

Also check out the Least Common Multiple of 70825 and 70845