What is the Greatest Common Factor of 75438 and 75449?

Greatest common factor (GCF) of 75438 and 75449 is 11.

GCF(75438,75449) = 11

We will now calculate the prime factors of 75438 and 75449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75438 and 75449.

How to find the GCF of 75438 and 75449?

We will first find the prime factorization of 75438 and 75449. After we will calculate the factors of 75438 and 75449 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75449

Prime factors of 75449 are 11, 19. Prime factorization of 75449 in exponential form is:

75449 = 11¹ × 19³

Step-3: Factors of 75438

List of positive integer factors of 75438 that divides 75438 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

Step-4: Factors of 75449

List of positive integer factors of 75449 that divides 75438 without a remainder.

1, 11, 19, 209, 361, 3971, 6859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75438 and 75449. The biggest common factor number is the GCF number.
So the greatest common factor 75438 and 75449 is 11.

Also check out the Least Common Multiple of 75438 and 75449