What is the Greatest Common Factor of 75420 and 75438?

Greatest common factor (GCF) of 75420 and 75438 is 18.

GCF(75420,75438) = 18

We will now calculate the prime factors of 75420 and 75438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75420 and 75438.

How to find the GCF of 75420 and 75438?

We will first find the prime factorization of 75420 and 75438. After we will calculate the factors of 75420 and 75438 and find the biggest common factor number .

Step-1: Prime Factorization of 75420

Prime factors of 75420 are 2, 3, 5, 419. Prime factorization of 75420 in exponential form is:

75420 = 2² × 3² × 5¹ × 419¹

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 75420

List of positive integer factors of 75420 that divides 75420 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 419, 838, 1257, 1676, 2095, 2514, 3771, 4190, 5028, 6285, 7542, 8380, 12570, 15084, 18855, 25140, 37710

Step-4: Factors of 75438

List of positive integer factors of 75438 that divides 75420 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 75420 and 75438. The biggest common factor number is the GCF number.
So the greatest common factor 75420 and 75438 is 18.

Also check out the Least Common Multiple of 75420 and 75438