What is the Greatest Common Factor of 75426 and 75442?

Greatest common factor (GCF) of 75426 and 75442 is 2.

GCF(75426,75442) = 2

We will now calculate the prime factors of 75426 and 75442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75426 and 75442.

How to find the GCF of 75426 and 75442?

We will first find the prime factorization of 75426 and 75442. After we will calculate the factors of 75426 and 75442 and find the biggest common factor number .

Step-1: Prime Factorization of 75426

Prime factors of 75426 are 2, 3, 13, 967. Prime factorization of 75426 in exponential form is:

75426 = 2¹ × 3¹ × 13¹ × 967¹

Step-2: Prime Factorization of 75442

Prime factors of 75442 are 2, 67, 563. Prime factorization of 75442 in exponential form is:

75442 = 2¹ × 67¹ × 563¹

Step-3: Factors of 75426

List of positive integer factors of 75426 that divides 75426 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 967, 1934, 2901, 5802, 12571, 25142, 37713

Step-4: Factors of 75442

List of positive integer factors of 75442 that divides 75426 without a remainder.

1, 2, 67, 134, 563, 1126, 37721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75426 and 75442. The biggest common factor number is the GCF number.
So the greatest common factor 75426 and 75442 is 2.

Also check out the Least Common Multiple of 75426 and 75442