What is the Greatest Common Factor of 75438 and 75448?

Greatest common factor (GCF) of 75438 and 75448 is 2.

GCF(75438,75448) = 2

We will now calculate the prime factors of 75438 and 75448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75438 and 75448.

How to find the GCF of 75438 and 75448?

We will first find the prime factorization of 75438 and 75448. After we will calculate the factors of 75438 and 75448 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 75448

Prime factors of 75448 are 2, 9431. Prime factorization of 75448 in exponential form is:

75448 = 2³ × 9431¹

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 75448

List of positive integer factors of 75448 that divides 75438 without a remainder.

1, 2, 4, 8, 9431, 18862, 37724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75438 and 75448. The biggest common factor number is the GCF number.
So the greatest common factor 75438 and 75448 is 2.

Also check out the Least Common Multiple of 75438 and 75448