What is the Greatest Common Factor of 75040 and 75056?

Greatest common factor (GCF) of 75040 and 75056 is 16.

GCF(75040,75056) = 16

We will now calculate the prime factors of 75040 and 75056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75040 and 75056.

How to find the GCF of 75040 and 75056?

We will first find the prime factorization of 75040 and 75056. After we will calculate the factors of 75040 and 75056 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75056

Prime factors of 75056 are 2, 4691. Prime factorization of 75056 in exponential form is:

75056 = 2⁴ × 4691¹

Step-3: Factors of 75040

List of positive integer factors of 75040 that divides 75040 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

Step-4: Factors of 75056

List of positive integer factors of 75056 that divides 75040 without a remainder.

1, 2, 4, 8, 16, 4691, 9382, 18764, 37528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75040 and 75056. The biggest common factor number is the GCF number.
So the greatest common factor 75040 and 75056 is 16.

Also check out the Least Common Multiple of 75040 and 75056