What is the Greatest Common Factor of 74987 and 75004?

Greatest common factor (GCF) of 74987 and 75004 is 17.

GCF(74987,75004) = 17

We will now calculate the prime factors of 74987 and 75004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74987 and 75004.

How to find the GCF of 74987 and 75004?

We will first find the prime factorization of 74987 and 75004. After we will calculate the factors of 74987 and 75004 and find the biggest common factor number .

Step-1: Prime Factorization of 74987

Prime factors of 74987 are 11, 17, 401. Prime factorization of 74987 in exponential form is:

74987 = 11¹ × 17¹ × 401¹

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 74987

List of positive integer factors of 74987 that divides 74987 without a remainder.

1, 11, 17, 187, 401, 4411, 6817

Step-4: Factors of 75004

List of positive integer factors of 75004 that divides 74987 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 74987 and 75004. The biggest common factor number is the GCF number.
So the greatest common factor 74987 and 75004 is 17.

Also check out the Least Common Multiple of 74987 and 75004