What is the Greatest Common Factor of 70875 and 70895?

Greatest common factor (GCF) of 70875 and 70895 is 5.

GCF(70875,70895) = 5

We will now calculate the prime factors of 70875 and 70895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70875 and 70895.

How to find the GCF of 70875 and 70895?

We will first find the prime factorization of 70875 and 70895. After we will calculate the factors of 70875 and 70895 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 70895

Prime factors of 70895 are 5, 11, 1289. Prime factorization of 70895 in exponential form is:

70895 = 5¹ × 11¹ × 1289¹

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 70895

List of positive integer factors of 70895 that divides 70875 without a remainder.

1, 5, 11, 55, 1289, 6445, 14179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70875 and 70895. The biggest common factor number is the GCF number.
So the greatest common factor 70875 and 70895 is 5.

Also check out the Least Common Multiple of 70875 and 70895