What is the Greatest Common Factor of 74980 and 74999?

Greatest common factor (GCF) of 74980 and 74999 is 1.

GCF(74980,74999) = 1

We will now calculate the prime factors of 74980 and 74999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74980 and 74999.

How to find the GCF of 74980 and 74999?

We will first find the prime factorization of 74980 and 74999. After we will calculate the factors of 74980 and 74999 and find the biggest common factor number .

Step-1: Prime Factorization of 74980

Prime factors of 74980 are 2, 5, 23, 163. Prime factorization of 74980 in exponential form is:

74980 = 2² × 5¹ × 23¹ × 163¹

Step-2: Prime Factorization of 74999

Prime factors of 74999 are 37, 2027. Prime factorization of 74999 in exponential form is:

74999 = 37¹ × 2027¹

Step-3: Factors of 74980

List of positive integer factors of 74980 that divides 74980 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 163, 230, 326, 460, 652, 815, 1630, 3260, 3749, 7498, 14996, 18745, 37490

Step-4: Factors of 74999

List of positive integer factors of 74999 that divides 74980 without a remainder.

1, 37, 2027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74980 and 74999. The biggest common factor number is the GCF number.
So the greatest common factor 74980 and 74999 is 1.

Also check out the Least Common Multiple of 74980 and 74999