What is the Greatest Common Factor of 74994 and 75007?

Greatest common factor (GCF) of 74994 and 75007 is 1.

GCF(74994,75007) = 1

We will now calculate the prime factors of 74994 and 75007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74994 and 75007.

How to find the GCF of 74994 and 75007?

We will first find the prime factorization of 74994 and 75007. After we will calculate the factors of 74994 and 75007 and find the biggest common factor number .

Step-1: Prime Factorization of 74994

Prime factors of 74994 are 2, 3, 29, 431. Prime factorization of 74994 in exponential form is:

74994 = 2¹ × 3¹ × 29¹ × 431¹

Step-2: Prime Factorization of 75007

Prime factors of 75007 are 107, 701. Prime factorization of 75007 in exponential form is:

75007 = 107¹ × 701¹

Step-3: Factors of 74994

List of positive integer factors of 74994 that divides 74994 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 431, 862, 1293, 2586, 12499, 24998, 37497

Step-4: Factors of 75007

List of positive integer factors of 75007 that divides 74994 without a remainder.

1, 107, 701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74994 and 75007. The biggest common factor number is the GCF number.
So the greatest common factor 74994 and 75007 is 1.

Also check out the Least Common Multiple of 74994 and 75007