What is the Greatest Common Factor of 75438 and 75458?

Greatest common factor (GCF) of 75438 and 75458 is 2.

GCF(75438,75458) = 2

We will now calculate the prime factors of 75438 and 75458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75438 and 75458.

How to find the GCF of 75438 and 75458?

We will first find the prime factorization of 75438 and 75458. After we will calculate the factors of 75438 and 75458 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 75458

Prime factors of 75458 are 2, 29, 1301. Prime factorization of 75458 in exponential form is:

75458 = 2¹ × 29¹ × 1301¹

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 75458

List of positive integer factors of 75458 that divides 75438 without a remainder.

1, 2, 29, 58, 1301, 2602, 37729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75438 and 75458. The biggest common factor number is the GCF number.
So the greatest common factor 75438 and 75458 is 2.

Also check out the Least Common Multiple of 75438 and 75458