What is the Greatest Common Factor of 69860 and 69875?

Greatest common factor (GCF) of 69860 and 69875 is 5.

GCF(69860,69875) = 5

We will now calculate the prime factors of 69860 and 69875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69860 and 69875.

How to find the GCF of 69860 and 69875?

We will first find the prime factorization of 69860 and 69875. After we will calculate the factors of 69860 and 69875 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 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 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 69875

List of positive integer factors of 69875 that divides 69860 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 69860 and 69875. The biggest common factor number is the GCF number.
So the greatest common factor 69860 and 69875 is 5.

Also check out the Least Common Multiple of 69860 and 69875