What is the Greatest Common Factor of 70863 and 70875?

Greatest common factor (GCF) of 70863 and 70875 is 3.

GCF(70863,70875) = 3

We will now calculate the prime factors of 70863 and 70875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70863 and 70875.

How to find the GCF of 70863 and 70875?

We will first find the prime factorization of 70863 and 70875. After we will calculate the factors of 70863 and 70875 and find the biggest common factor number .

Step-1: Prime Factorization of 70863

Prime factors of 70863 are 3, 13, 23, 79. Prime factorization of 70863 in exponential form is:

70863 = 3¹ × 13¹ × 23¹ × 79¹

Step-2: 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-3: Factors of 70863

List of positive integer factors of 70863 that divides 70863 without a remainder.

1, 3, 13, 23, 39, 69, 79, 237, 299, 897, 1027, 1817, 3081, 5451, 23621

Step-4: Factors of 70875

List of positive integer factors of 70875 that divides 70863 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70863 and 70875. The biggest common factor number is the GCF number.
So the greatest common factor 70863 and 70875 is 3.

Also check out the Least Common Multiple of 70863 and 70875