What is the Greatest Common Factor of 74989 and 74993?

Greatest common factor (GCF) of 74989 and 74993 is 1.

GCF(74989,74993) = 1

We will now calculate the prime factors of 74989 and 74993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74989 and 74993.

How to find the GCF of 74989 and 74993?

We will first find the prime factorization of 74989 and 74993. After we will calculate the factors of 74989 and 74993 and find the biggest common factor number .

Step-1: Prime Factorization of 74989

Prime factors of 74989 are 31, 41, 59. Prime factorization of 74989 in exponential form is:

74989 = 31¹ × 41¹ × 59¹

Step-2: Prime Factorization of 74993

Prime factors of 74993 are 19, 3947. Prime factorization of 74993 in exponential form is:

74993 = 19¹ × 3947¹

Step-3: Factors of 74989

List of positive integer factors of 74989 that divides 74989 without a remainder.

1, 31, 41, 59, 1271, 1829, 2419

Step-4: Factors of 74993

List of positive integer factors of 74993 that divides 74989 without a remainder.

1, 19, 3947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74989 and 74993. The biggest common factor number is the GCF number.
So the greatest common factor 74989 and 74993 is 1.

Also check out the Least Common Multiple of 74989 and 74993