What is the Greatest Common Factor of 75004 and 75010?

Greatest common factor (GCF) of 75004 and 75010 is 2.

GCF(75004,75010) = 2

We will now calculate the prime factors of 75004 and 75010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75004 and 75010.

How to find the GCF of 75004 and 75010?

We will first find the prime factorization of 75004 and 75010. After we will calculate the factors of 75004 and 75010 and find the biggest common factor number .

Step-1: Prime Factorization of 75004

Prime factors of 75004 are 2, 17, 1103. Prime factorization of 75004 in exponential form is:

75004 = 2² × 17¹ × 1103¹

Step-2: Prime Factorization of 75010

Prime factors of 75010 are 2, 5, 13, 577. Prime factorization of 75010 in exponential form is:

75010 = 2¹ × 5¹ × 13¹ × 577¹

Step-3: Factors of 75004

List of positive integer factors of 75004 that divides 75004 without a remainder.

1, 2, 4, 17, 34, 68, 1103, 2206, 4412, 18751, 37502

Step-4: Factors of 75010

List of positive integer factors of 75010 that divides 75004 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 577, 1154, 2885, 5770, 7501, 15002, 37505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75004 and 75010. The biggest common factor number is the GCF number.
So the greatest common factor 75004 and 75010 is 2.

Also check out the Least Common Multiple of 75004 and 75010