What is the Greatest Common Factor of 19028 and 19040?

Greatest common factor (GCF) of 19028 and 19040 is 4.

GCF(19028,19040) = 4

We will now calculate the prime factors of 19028 and 19040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19028 and 19040.

How to find the GCF of 19028 and 19040?

We will first find the prime factorization of 19028 and 19040. After we will calculate the factors of 19028 and 19040 and find the biggest common factor number .

Step-1: Prime Factorization of 19028

Prime factors of 19028 are 2, 67, 71. Prime factorization of 19028 in exponential form is:

19028 = 2² × 67¹ × 71¹

Step-2: 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-3: Factors of 19028

List of positive integer factors of 19028 that divides 19028 without a remainder.

1, 2, 4, 67, 71, 134, 142, 268, 284, 4757, 9514

Step-4: Factors of 19040

List of positive integer factors of 19040 that divides 19028 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19028 and 19040. The biggest common factor number is the GCF number.
So the greatest common factor 19028 and 19040 is 4.

Also check out the Least Common Multiple of 19028 and 19040