What is the Greatest Common Factor of 59984 and 60004?

Greatest common factor (GCF) of 59984 and 60004 is 4.

GCF(59984,60004) = 4

We will now calculate the prime factors of 59984 and 60004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59984 and 60004.

How to find the GCF of 59984 and 60004?

We will first find the prime factorization of 59984 and 60004. After we will calculate the factors of 59984 and 60004 and find the biggest common factor number .

Step-1: Prime Factorization of 59984

Prime factors of 59984 are 2, 23, 163. Prime factorization of 59984 in exponential form is:

59984 = 2⁴ × 23¹ × 163¹

Step-2: Prime Factorization of 60004

Prime factors of 60004 are 2, 7, 2143. Prime factorization of 60004 in exponential form is:

60004 = 2² × 7¹ × 2143¹

Step-3: Factors of 59984

List of positive integer factors of 59984 that divides 59984 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 163, 184, 326, 368, 652, 1304, 2608, 3749, 7498, 14996, 29992

Step-4: Factors of 60004

List of positive integer factors of 60004 that divides 59984 without a remainder.

1, 2, 4, 7, 14, 28, 2143, 4286, 8572, 15001, 30002

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59984 and 60004. The biggest common factor number is the GCF number.
So the greatest common factor 59984 and 60004 is 4.

Also check out the Least Common Multiple of 59984 and 60004