What is the Greatest Common Factor of 75429 and 75438?

Greatest common factor (GCF) of 75429 and 75438 is 9.

GCF(75429,75438) = 9

We will now calculate the prime factors of 75429 and 75438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75429 and 75438.

How to find the GCF of 75429 and 75438?

We will first find the prime factorization of 75429 and 75438. After we will calculate the factors of 75429 and 75438 and find the biggest common factor number .

Step-1: Prime Factorization of 75429

Prime factors of 75429 are 3, 17, 29. Prime factorization of 75429 in exponential form is:

75429 = 3² × 17² × 29¹

Step-2: Prime Factorization of 75438

Prime factors of 75438 are 2, 3, 11, 127. Prime factorization of 75438 in exponential form is:

75438 = 2¹ × 3³ × 11¹ × 127¹

Step-3: Factors of 75429

List of positive integer factors of 75429 that divides 75429 without a remainder.

1, 3, 9, 17, 29, 51, 87, 153, 261, 289, 493, 867, 1479, 2601, 4437, 8381, 25143

Step-4: Factors of 75438

List of positive integer factors of 75438 that divides 75429 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 127, 198, 254, 297, 381, 594, 762, 1143, 1397, 2286, 2794, 3429, 4191, 6858, 8382, 12573, 25146, 37719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75429 and 75438. The biggest common factor number is the GCF number.
So the greatest common factor 75429 and 75438 is 9.

Also check out the Least Common Multiple of 75429 and 75438