What is the Greatest Common Factor of 70715 and 70725?

Greatest common factor (GCF) of 70715 and 70725 is 5.

GCF(70715,70725) = 5

We will now calculate the prime factors of 70715 and 70725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70715 and 70725.

How to find the GCF of 70715 and 70725?

We will first find the prime factorization of 70715 and 70725. After we will calculate the factors of 70715 and 70725 and find the biggest common factor number .

Step-1: Prime Factorization of 70715

Prime factors of 70715 are 5, 14143. Prime factorization of 70715 in exponential form is:

70715 = 5¹ × 14143¹

Step-2: Prime Factorization of 70725

Prime factors of 70725 are 3, 5, 23, 41. Prime factorization of 70725 in exponential form is:

70725 = 3¹ × 5² × 23¹ × 41¹

Step-3: Factors of 70715

List of positive integer factors of 70715 that divides 70715 without a remainder.

1, 5, 14143

Step-4: Factors of 70725

List of positive integer factors of 70725 that divides 70715 without a remainder.

1, 3, 5, 15, 23, 25, 41, 69, 75, 115, 123, 205, 345, 575, 615, 943, 1025, 1725, 2829, 3075, 4715, 14145, 23575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70715 and 70725. The biggest common factor number is the GCF number.
So the greatest common factor 70715 and 70725 is 5.

Also check out the Least Common Multiple of 70715 and 70725