What is the Greatest Common Factor of 74994 and 75003?

Greatest common factor (GCF) of 74994 and 75003 is 3.

GCF(74994,75003) = 3

We will now calculate the prime factors of 74994 and 75003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74994 and 75003.

How to find the GCF of 74994 and 75003?

We will first find the prime factorization of 74994 and 75003. After we will calculate the factors of 74994 and 75003 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 75003

Prime factors of 75003 are 3, 23, 1087. Prime factorization of 75003 in exponential form is:

75003 = 3¹ × 23¹ × 1087¹

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 75003

List of positive integer factors of 75003 that divides 74994 without a remainder.

1, 3, 23, 69, 1087, 3261, 25001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74994 and 75003. The biggest common factor number is the GCF number.
So the greatest common factor 74994 and 75003 is 3.

Also check out the Least Common Multiple of 74994 and 75003