What is the Greatest Common Factor of 19040 and 19048?

Greatest common factor (GCF) of 19040 and 19048 is 8.

GCF(19040,19048) = 8

We will now calculate the prime factors of 19040 and 19048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19040 and 19048.

How to find the GCF of 19040 and 19048?

We will first find the prime factorization of 19040 and 19048. After we will calculate the factors of 19040 and 19048 and find the biggest common factor number .

Step-1: Prime Factorization of 19040

Prime factors of 19040 are 2, 5, 7, 17. Prime factorization of 19040 in exponential form is:

19040 = 2⁵ × 5¹ × 7¹ × 17¹

Step-2: Prime Factorization of 19048

Prime factors of 19048 are 2, 2381. Prime factorization of 19048 in exponential form is:

19048 = 2³ × 2381¹

Step-3: Factors of 19040

List of positive integer factors of 19040 that divides 19040 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 32, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 160, 170, 224, 238, 272, 280, 340, 476, 544, 560, 595, 680, 952, 1120, 1190, 1360, 1904, 2380, 2720, 3808, 4760, 9520

Step-4: Factors of 19048

List of positive integer factors of 19048 that divides 19040 without a remainder.

1, 2, 4, 8, 2381, 4762, 9524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19040 and 19048. The biggest common factor number is the GCF number.
So the greatest common factor 19040 and 19048 is 8.

Also check out the Least Common Multiple of 19040 and 19048