What is the Greatest Common Factor of 28860 and 28870?

Greatest common factor (GCF) of 28860 and 28870 is 10.

GCF(28860,28870) = 10

We will now calculate the prime factors of 28860 and 28870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28860 and 28870.

How to find the GCF of 28860 and 28870?

We will first find the prime factorization of 28860 and 28870. After we will calculate the factors of 28860 and 28870 and find the biggest common factor number .

Step-1: Prime Factorization of 28860

Prime factors of 28860 are 2, 3, 5, 13, 37. Prime factorization of 28860 in exponential form is:

28860 = 2² × 3¹ × 5¹ × 13¹ × 37¹

Step-2: Prime Factorization of 28870

Prime factors of 28870 are 2, 5, 2887. Prime factorization of 28870 in exponential form is:

28870 = 2¹ × 5¹ × 2887¹

Step-3: Factors of 28860

List of positive integer factors of 28860 that divides 28860 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 37, 39, 52, 60, 65, 74, 78, 111, 130, 148, 156, 185, 195, 222, 260, 370, 390, 444, 481, 555, 740, 780, 962, 1110, 1443, 1924, 2220, 2405, 2886, 4810, 5772, 7215, 9620, 14430

Step-4: Factors of 28870

List of positive integer factors of 28870 that divides 28860 without a remainder.

1, 2, 5, 10, 2887, 5774, 14435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28860 and 28870. The biggest common factor number is the GCF number.
So the greatest common factor 28860 and 28870 is 10.

Also check out the Least Common Multiple of 28860 and 28870