What is the Greatest Common Factor of 74994 and 75010?

Greatest common factor (GCF) of 74994 and 75010 is 2.

GCF(74994,75010) = 2

We will now calculate the prime factors of 74994 and 75010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74994 and 75010.

How to find the GCF of 74994 and 75010?

We will first find the prime factorization of 74994 and 75010. After we will calculate the factors of 74994 and 75010 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 75010

Prime factors of 75010 are 2, 5, 13, 577. Prime factorization of 75010 in exponential form is:

75010 = 2¹ × 5¹ × 13¹ × 577¹

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 75010

List of positive integer factors of 75010 that divides 74994 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 577, 1154, 2885, 5770, 7501, 15002, 37505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74994 and 75010. The biggest common factor number is the GCF number.
So the greatest common factor 74994 and 75010 is 2.

Also check out the Least Common Multiple of 74994 and 75010