What is the Greatest Common Factor of 28860 and 28874?

Greatest common factor (GCF) of 28860 and 28874 is 2.

GCF(28860,28874) = 2

We will now calculate the prime factors of 28860 and 28874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28860 and 28874.

How to find the GCF of 28860 and 28874?

We will first find the prime factorization of 28860 and 28874. After we will calculate the factors of 28860 and 28874 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 28874

Prime factors of 28874 are 2, 14437. Prime factorization of 28874 in exponential form is:

28874 = 2¹ × 14437¹

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 28874

List of positive integer factors of 28874 that divides 28860 without a remainder.

1, 2, 14437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28860 and 28874. The biggest common factor number is the GCF number.
So the greatest common factor 28860 and 28874 is 2.

Also check out the Least Common Multiple of 28860 and 28874