What is the Greatest Common Factor of 69870 and 69875?

Greatest common factor (GCF) of 69870 and 69875 is 5.

GCF(69870,69875) = 5

We will now calculate the prime factors of 69870 and 69875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69870 and 69875.

How to find the GCF of 69870 and 69875?

We will first find the prime factorization of 69870 and 69875. After we will calculate the factors of 69870 and 69875 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 69875

Prime factors of 69875 are 5, 13, 43. Prime factorization of 69875 in exponential form is:

69875 = 5³ × 13¹ × 43¹

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 69875

List of positive integer factors of 69875 that divides 69870 without a remainder.

1, 5, 13, 25, 43, 65, 125, 215, 325, 559, 1075, 1625, 2795, 5375, 13975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69870 and 69875. The biggest common factor number is the GCF number.
So the greatest common factor 69870 and 69875 is 5.

Also check out the Least Common Multiple of 69870 and 69875