What is the Greatest Common Factor of 69864 and 69884?

Greatest common factor (GCF) of 69864 and 69884 is 4.

GCF(69864,69884) = 4

We will now calculate the prime factors of 69864 and 69884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69864 and 69884.

How to find the GCF of 69864 and 69884?

We will first find the prime factorization of 69864 and 69884. After we will calculate the factors of 69864 and 69884 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 69884

Prime factors of 69884 are 2, 17471. Prime factorization of 69884 in exponential form is:

69884 = 2² × 17471¹

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 69884

List of positive integer factors of 69884 that divides 69864 without a remainder.

1, 2, 4, 17471, 34942

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69864 and 69884. The biggest common factor number is the GCF number.
So the greatest common factor 69864 and 69884 is 4.

Also check out the Least Common Multiple of 69864 and 69884