What is the Greatest Common Factor of 19025 and 19040?

Greatest common factor (GCF) of 19025 and 19040 is 5.

GCF(19025,19040) = 5

We will now calculate the prime factors of 19025 and 19040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19025 and 19040.

How to find the GCF of 19025 and 19040?

We will first find the prime factorization of 19025 and 19040. After we will calculate the factors of 19025 and 19040 and find the biggest common factor number .

Step-1: Prime Factorization of 19025

Prime factors of 19025 are 5, 761. Prime factorization of 19025 in exponential form is:

19025 = 5² × 761¹

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 19025

List of positive integer factors of 19025 that divides 19025 without a remainder.

1, 5, 25, 761, 3805

Step-4: Factors of 19040

List of positive integer factors of 19040 that divides 19025 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 19025 and 19040. The biggest common factor number is the GCF number.
So the greatest common factor 19025 and 19040 is 5.

Also check out the Least Common Multiple of 19025 and 19040