What is the Greatest Common Factor of 74996 and 75004?

Greatest common factor (GCF) of 74996 and 75004 is 4.

GCF(74996,75004) = 4

We will now calculate the prime factors of 74996 and 75004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74996 and 75004.

How to find the GCF of 74996 and 75004?

We will first find the prime factorization of 74996 and 75004. After we will calculate the factors of 74996 and 75004 and find the biggest common factor number .

Step-1: Prime Factorization of 74996

Prime factors of 74996 are 2, 18749. Prime factorization of 74996 in exponential form is:

74996 = 2² × 18749¹

Step-2: 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-3: Factors of 74996

List of positive integer factors of 74996 that divides 74996 without a remainder.

1, 2, 4, 18749, 37498

Step-4: Factors of 75004

List of positive integer factors of 75004 that divides 74996 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74996 and 75004. The biggest common factor number is the GCF number.
So the greatest common factor 74996 and 75004 is 4.

Also check out the Least Common Multiple of 74996 and 75004