What is the Greatest Common Factor of 69864 and 69871?

Greatest common factor (GCF) of 69864 and 69871 is 1.

GCF(69864,69871) = 1

We will now calculate the prime factors of 69864 and 69871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69864 and 69871.

How to find the GCF of 69864 and 69871?

We will first find the prime factorization of 69864 and 69871. After we will calculate the factors of 69864 and 69871 and find the biggest common factor number .

Step-1: Prime Factorization of 69864

Prime factors of 69864 are 2, 3, 41, 71. Prime factorization of 69864 in exponential form is:

69864 = 2³ × 3¹ × 41¹ × 71¹

Step-2: Prime Factorization of 69871

Prime factors of 69871 are 107, 653. Prime factorization of 69871 in exponential form is:

69871 = 107¹ × 653¹

Step-3: Factors of 69864

List of positive integer factors of 69864 that divides 69864 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 71, 82, 123, 142, 164, 213, 246, 284, 328, 426, 492, 568, 852, 984, 1704, 2911, 5822, 8733, 11644, 17466, 23288, 34932

Step-4: Factors of 69871

List of positive integer factors of 69871 that divides 69864 without a remainder.

1, 107, 653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69864 and 69871. The biggest common factor number is the GCF number.
So the greatest common factor 69864 and 69871 is 1.

Also check out the Least Common Multiple of 69864 and 69871