What is the Greatest Common Factor of 75024 and 75040?

Greatest common factor (GCF) of 75024 and 75040 is 16.

GCF(75024,75040) = 16

We will now calculate the prime factors of 75024 and 75040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75024 and 75040.

How to find the GCF of 75024 and 75040?

We will first find the prime factorization of 75024 and 75040. After we will calculate the factors of 75024 and 75040 and find the biggest common factor number .

Step-1: Prime Factorization of 75024

Prime factors of 75024 are 2, 3, 521. Prime factorization of 75024 in exponential form is:

75024 = 2⁴ × 3² × 521¹

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 75024

List of positive integer factors of 75024 that divides 75024 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 521, 1042, 1563, 2084, 3126, 4168, 4689, 6252, 8336, 9378, 12504, 18756, 25008, 37512

Step-4: Factors of 75040

List of positive integer factors of 75040 that divides 75024 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 75024 and 75040. The biggest common factor number is the GCF number.
So the greatest common factor 75024 and 75040 is 16.

Also check out the Least Common Multiple of 75024 and 75040