What is the Greatest Common Factor of 83875 and 83890?

Greatest common factor (GCF) of 83875 and 83890 is 5.

GCF(83875,83890) = 5

We will now calculate the prime factors of 83875 and 83890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83875 and 83890.

How to find the GCF of 83875 and 83890?

We will first find the prime factorization of 83875 and 83890. After we will calculate the factors of 83875 and 83890 and find the biggest common factor number .

Step-1: Prime Factorization of 83875

Prime factors of 83875 are 5, 11, 61. Prime factorization of 83875 in exponential form is:

83875 = 5³ × 11¹ × 61¹

Step-2: Prime Factorization of 83890

Prime factors of 83890 are 2, 5, 8389. Prime factorization of 83890 in exponential form is:

83890 = 2¹ × 5¹ × 8389¹

Step-3: Factors of 83875

List of positive integer factors of 83875 that divides 83875 without a remainder.

1, 5, 11, 25, 55, 61, 125, 275, 305, 671, 1375, 1525, 3355, 7625, 16775

Step-4: Factors of 83890

List of positive integer factors of 83890 that divides 83875 without a remainder.

1, 2, 5, 10, 8389, 16778, 41945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83875 and 83890. The biggest common factor number is the GCF number.
So the greatest common factor 83875 and 83890 is 5.

Also check out the Least Common Multiple of 83875 and 83890