What is the Greatest Common Factor of 69875 and 69889?

Greatest common factor (GCF) of 69875 and 69889 is 1.

GCF(69875,69889) = 1

We will now calculate the prime factors of 69875 and 69889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69875 and 69889.

How to find the GCF of 69875 and 69889?

We will first find the prime factorization of 69875 and 69889. After we will calculate the factors of 69875 and 69889 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69889

Prime factors of 69889 are 47, 1487. Prime factorization of 69889 in exponential form is:

69889 = 47¹ × 1487¹

Step-3: Factors of 69875

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

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

Step-4: Factors of 69889

List of positive integer factors of 69889 that divides 69875 without a remainder.

1, 47, 1487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69875 and 69889. The biggest common factor number is the GCF number.
So the greatest common factor 69875 and 69889 is 1.

Also check out the Least Common Multiple of 69875 and 69889