What is the Greatest Common Factor of 69870 and 69882?

Greatest common factor (GCF) of 69870 and 69882 is 6.

GCF(69870,69882) = 6

We will now calculate the prime factors of 69870 and 69882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69870 and 69882.

How to find the GCF of 69870 and 69882?

We will first find the prime factorization of 69870 and 69882. After we will calculate the factors of 69870 and 69882 and find the biggest common factor number .

Step-1: Prime Factorization of 69870

Prime factors of 69870 are 2, 3, 5, 17, 137. Prime factorization of 69870 in exponential form is:

69870 = 2¹ × 3¹ × 5¹ × 17¹ × 137¹

Step-2: Prime Factorization of 69882

Prime factors of 69882 are 2, 3, 19, 613. Prime factorization of 69882 in exponential form is:

69882 = 2¹ × 3¹ × 19¹ × 613¹

Step-3: Factors of 69870

List of positive integer factors of 69870 that divides 69870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 137, 170, 255, 274, 411, 510, 685, 822, 1370, 2055, 2329, 4110, 4658, 6987, 11645, 13974, 23290, 34935

Step-4: Factors of 69882

List of positive integer factors of 69882 that divides 69870 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 613, 1226, 1839, 3678, 11647, 23294, 34941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69870 and 69882. The biggest common factor number is the GCF number.
So the greatest common factor 69870 and 69882 is 6.

Also check out the Least Common Multiple of 69870 and 69882