What is the Greatest Common Factor of 70875 and 70891?

Greatest common factor (GCF) of 70875 and 70891 is 1.

GCF(70875,70891) = 1

We will now calculate the prime factors of 70875 and 70891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70875 and 70891.

How to find the GCF of 70875 and 70891?

We will first find the prime factorization of 70875 and 70891. After we will calculate the factors of 70875 and 70891 and find the biggest common factor number .

Step-1: Prime Factorization of 70875

Prime factors of 70875 are 3, 5, 7. Prime factorization of 70875 in exponential form is:

70875 = 3⁴ × 5³ × 7¹

Step-2: Prime Factorization of 70891

Prime factors of 70891 are 70891. Prime factorization of 70891 in exponential form is:

70891 = 70891¹

Step-3: Factors of 70875

List of positive integer factors of 70875 that divides 70875 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 81, 105, 125, 135, 175, 189, 225, 315, 375, 405, 525, 567, 675, 875, 945, 1125, 1575, 2025, 2625, 2835, 3375, 4725, 7875, 10125, 14175, 23625

Step-4: Factors of 70891

List of positive integer factors of 70891 that divides 70875 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70875 and 70891. The biggest common factor number is the GCF number.
So the greatest common factor 70875 and 70891 is 1.

Also check out the Least Common Multiple of 70875 and 70891