What is the Greatest Common Factor of 74989 and 75008?

Greatest common factor (GCF) of 74989 and 75008 is 1.

GCF(74989,75008) = 1

We will now calculate the prime factors of 74989 and 75008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74989 and 75008.

How to find the GCF of 74989 and 75008?

We will first find the prime factorization of 74989 and 75008. After we will calculate the factors of 74989 and 75008 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 75008

Prime factors of 75008 are 2, 293. Prime factorization of 75008 in exponential form is:

75008 = 2⁸ × 293¹

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 75008

List of positive integer factors of 75008 that divides 74989 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 293, 586, 1172, 2344, 4688, 9376, 18752, 37504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74989 and 75008. The biggest common factor number is the GCF number.
So the greatest common factor 74989 and 75008 is 1.

Also check out the Least Common Multiple of 74989 and 75008