What is the Greatest Common Factor of 74992 and 75005?

Greatest common factor (GCF) of 74992 and 75005 is 1.

GCF(74992,75005) = 1

We will now calculate the prime factors of 74992 and 75005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74992 and 75005.

How to find the GCF of 74992 and 75005?

We will first find the prime factorization of 74992 and 75005. After we will calculate the factors of 74992 and 75005 and find the biggest common factor number .

Step-1: Prime Factorization of 74992

Prime factors of 74992 are 2, 43, 109. Prime factorization of 74992 in exponential form is:

74992 = 2⁴ × 43¹ × 109¹

Step-2: Prime Factorization of 75005

Prime factors of 75005 are 5, 7, 2143. Prime factorization of 75005 in exponential form is:

75005 = 5¹ × 7¹ × 2143¹

Step-3: Factors of 74992

List of positive integer factors of 74992 that divides 74992 without a remainder.

1, 2, 4, 8, 16, 43, 86, 109, 172, 218, 344, 436, 688, 872, 1744, 4687, 9374, 18748, 37496

Step-4: Factors of 75005

List of positive integer factors of 75005 that divides 74992 without a remainder.

1, 5, 7, 35, 2143, 10715, 15001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74992 and 75005. The biggest common factor number is the GCF number.
So the greatest common factor 74992 and 75005 is 1.

Also check out the Least Common Multiple of 74992 and 75005