What is the Greatest Common Factor of 70970 and 70975?

Greatest common factor (GCF) of 70970 and 70975 is 5.

GCF(70970,70975) = 5

We will now calculate the prime factors of 70970 and 70975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70970 and 70975.

How to find the GCF of 70970 and 70975?

We will first find the prime factorization of 70970 and 70975. After we will calculate the factors of 70970 and 70975 and find the biggest common factor number .

Step-1: Prime Factorization of 70970

Prime factors of 70970 are 2, 5, 47, 151. Prime factorization of 70970 in exponential form is:

70970 = 2¹ × 5¹ × 47¹ × 151¹

Step-2: Prime Factorization of 70975

Prime factors of 70975 are 5, 17, 167. Prime factorization of 70975 in exponential form is:

70975 = 5² × 17¹ × 167¹

Step-3: Factors of 70970

List of positive integer factors of 70970 that divides 70970 without a remainder.

1, 2, 5, 10, 47, 94, 151, 235, 302, 470, 755, 1510, 7097, 14194, 35485

Step-4: Factors of 70975

List of positive integer factors of 70975 that divides 70970 without a remainder.

1, 5, 17, 25, 85, 167, 425, 835, 2839, 4175, 14195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70970 and 70975. The biggest common factor number is the GCF number.
So the greatest common factor 70970 and 70975 is 5.

Also check out the Least Common Multiple of 70970 and 70975