What is the Greatest Common Factor of 1872 and 1892?

Greatest common factor (GCF) of 1872 and 1892 is 4.

GCF(1872,1892) = 4

We will now calculate the prime factors of 1872 and 1892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1872 and 1892.

How to find the GCF of 1872 and 1892?

We will first find the prime factorization of 1872 and 1892. After we will calculate the factors of 1872 and 1892 and find the biggest common factor number .

Step-1: Prime Factorization of 1872

Prime factors of 1872 are 2, 3, 13. Prime factorization of 1872 in exponential form is:

1872 = 2⁴ × 3² × 13¹

Step-2: Prime Factorization of 1892

Prime factors of 1892 are 2, 11, 43. Prime factorization of 1892 in exponential form is:

1892 = 2² × 11¹ × 43¹

Step-3: Factors of 1872

List of positive integer factors of 1872 that divides 1872 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936

Step-4: Factors of 1892

List of positive integer factors of 1892 that divides 1872 without a remainder.

1, 2, 4, 11, 22, 43, 44, 86, 172, 473, 946

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1872 and 1892. The biggest common factor number is the GCF number.
So the greatest common factor 1872 and 1892 is 4.

Also check out the Least Common Multiple of 1872 and 1892