What is the Greatest Common Factor of 75021 and 75040?

Greatest common factor (GCF) of 75021 and 75040 is 1.

GCF(75021,75040) = 1

We will now calculate the prime factors of 75021 and 75040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75021 and 75040.

How to find the GCF of 75021 and 75040?

We will first find the prime factorization of 75021 and 75040. After we will calculate the factors of 75021 and 75040 and find the biggest common factor number .

Step-1: Prime Factorization of 75021

Prime factors of 75021 are 3, 17, 1471. Prime factorization of 75021 in exponential form is:

75021 = 3¹ × 17¹ × 1471¹

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 75021

List of positive integer factors of 75021 that divides 75021 without a remainder.

1, 3, 17, 51, 1471, 4413, 25007

Step-4: Factors of 75040

List of positive integer factors of 75040 that divides 75021 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 75021 and 75040. The biggest common factor number is the GCF number.
So the greatest common factor 75021 and 75040 is 1.

Also check out the Least Common Multiple of 75021 and 75040