What is the Greatest Common Factor of 69860 and 69864?

Greatest common factor (GCF) of 69860 and 69864 is 4.

GCF(69860,69864) = 4

We will now calculate the prime factors of 69860 and 69864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69860 and 69864.

How to find the GCF of 69860 and 69864?

We will first find the prime factorization of 69860 and 69864. After we will calculate the factors of 69860 and 69864 and find the biggest common factor number .

Step-1: Prime Factorization of 69860

Prime factors of 69860 are 2, 5, 7, 499. Prime factorization of 69860 in exponential form is:

69860 = 2² × 5¹ × 7¹ × 499¹

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 69860

List of positive integer factors of 69860 that divides 69860 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 499, 998, 1996, 2495, 3493, 4990, 6986, 9980, 13972, 17465, 34930

Step-4: Factors of 69864

List of positive integer factors of 69864 that divides 69860 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 69860 and 69864. The biggest common factor number is the GCF number.
So the greatest common factor 69860 and 69864 is 4.

Also check out the Least Common Multiple of 69860 and 69864