What is the Greatest Common Factor of 69854 and 69864?

Greatest common factor (GCF) of 69854 and 69864 is 2.

GCF(69854,69864) = 2

We will now calculate the prime factors of 69854 and 69864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69854 and 69864.

How to find the GCF of 69854 and 69864?

We will first find the prime factorization of 69854 and 69864. After we will calculate the factors of 69854 and 69864 and find the biggest common factor number .

Step-1: Prime Factorization of 69854

Prime factors of 69854 are 2, 53, 659. Prime factorization of 69854 in exponential form is:

69854 = 2¹ × 53¹ × 659¹

Step-2: 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-3: Factors of 69854

List of positive integer factors of 69854 that divides 69854 without a remainder.

1, 2, 53, 106, 659, 1318, 34927

Step-4: Factors of 69864

List of positive integer factors of 69864 that divides 69854 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69854 and 69864. The biggest common factor number is the GCF number.
So the greatest common factor 69854 and 69864 is 2.

Also check out the Least Common Multiple of 69854 and 69864