What is the Greatest Common Factor of 75870 and 75890?

Greatest common factor (GCF) of 75870 and 75890 is 10.

GCF(75870,75890) = 10

We will now calculate the prime factors of 75870 and 75890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75870 and 75890.

How to find the GCF of 75870 and 75890?

We will first find the prime factorization of 75870 and 75890. After we will calculate the factors of 75870 and 75890 and find the biggest common factor number .

Step-1: Prime Factorization of 75870

Prime factors of 75870 are 2, 3, 5, 281. Prime factorization of 75870 in exponential form is:

75870 = 2¹ × 3³ × 5¹ × 281¹

Step-2: Prime Factorization of 75890

Prime factors of 75890 are 2, 5, 7589. Prime factorization of 75890 in exponential form is:

75890 = 2¹ × 5¹ × 7589¹

Step-3: Factors of 75870

List of positive integer factors of 75870 that divides 75870 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 281, 562, 843, 1405, 1686, 2529, 2810, 4215, 5058, 7587, 8430, 12645, 15174, 25290, 37935

Step-4: Factors of 75890

List of positive integer factors of 75890 that divides 75870 without a remainder.

1, 2, 5, 10, 7589, 15178, 37945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75870 and 75890. The biggest common factor number is the GCF number.
So the greatest common factor 75870 and 75890 is 10.

Also check out the Least Common Multiple of 75870 and 75890