What is the Greatest Common Factor of 29875 and 29890?

Greatest common factor (GCF) of 29875 and 29890 is 5.

GCF(29875,29890) = 5

We will now calculate the prime factors of 29875 and 29890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29875 and 29890.

How to find the GCF of 29875 and 29890?

We will first find the prime factorization of 29875 and 29890. After we will calculate the factors of 29875 and 29890 and find the biggest common factor number .

Step-1: Prime Factorization of 29875

Prime factors of 29875 are 5, 239. Prime factorization of 29875 in exponential form is:

29875 = 5³ × 239¹

Step-2: Prime Factorization of 29890

Prime factors of 29890 are 2, 5, 7, 61. Prime factorization of 29890 in exponential form is:

29890 = 2¹ × 5¹ × 7² × 61¹

Step-3: Factors of 29875

List of positive integer factors of 29875 that divides 29875 without a remainder.

1, 5, 25, 125, 239, 1195, 5975

Step-4: Factors of 29890

List of positive integer factors of 29890 that divides 29875 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 61, 70, 98, 122, 245, 305, 427, 490, 610, 854, 2135, 2989, 4270, 5978, 14945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29875 and 29890. The biggest common factor number is the GCF number.
So the greatest common factor 29875 and 29890 is 5.

Also check out the Least Common Multiple of 29875 and 29890