What is the Greatest Common Factor of 75023 and 75040?

Greatest common factor (GCF) of 75023 and 75040 is 1.

GCF(75023,75040) = 1

We will now calculate the prime factors of 75023 and 75040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75023 and 75040.

How to find the GCF of 75023 and 75040?

We will first find the prime factorization of 75023 and 75040. After we will calculate the factors of 75023 and 75040 and find the biggest common factor number .

Step-1: Prime Factorization of 75023

Prime factors of 75023 are 13, 29, 199. Prime factorization of 75023 in exponential form is:

75023 = 13¹ × 29¹ × 199¹

Step-2: Prime Factorization of 75040

Prime factors of 75040 are 2, 5, 7, 67. Prime factorization of 75040 in exponential form is:

75040 = 2⁵ × 5¹ × 7¹ × 67¹

Step-3: Factors of 75023

List of positive integer factors of 75023 that divides 75023 without a remainder.

1, 13, 29, 199, 377, 2587, 5771

Step-4: Factors of 75040

List of positive integer factors of 75040 that divides 75023 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 67, 70, 80, 112, 134, 140, 160, 224, 268, 280, 335, 469, 536, 560, 670, 938, 1072, 1120, 1340, 1876, 2144, 2345, 2680, 3752, 4690, 5360, 7504, 9380, 10720, 15008, 18760, 37520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75023 and 75040. The biggest common factor number is the GCF number.
So the greatest common factor 75023 and 75040 is 1.

Also check out the Least Common Multiple of 75023 and 75040