What is the Greatest Common Factor of 75126 and 75145?

Greatest common factor (GCF) of 75126 and 75145 is 19.

GCF(75126,75145) = 19

We will now calculate the prime factors of 75126 and 75145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75126 and 75145.

How to find the GCF of 75126 and 75145?

We will first find the prime factorization of 75126 and 75145. After we will calculate the factors of 75126 and 75145 and find the biggest common factor number .

Step-1: Prime Factorization of 75126

Prime factors of 75126 are 2, 3, 19, 659. Prime factorization of 75126 in exponential form is:

75126 = 2¹ × 3¹ × 19¹ × 659¹

Step-2: Prime Factorization of 75145

Prime factors of 75145 are 5, 7, 19, 113. Prime factorization of 75145 in exponential form is:

75145 = 5¹ × 7¹ × 19¹ × 113¹

Step-3: Factors of 75126

List of positive integer factors of 75126 that divides 75126 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 659, 1318, 1977, 3954, 12521, 25042, 37563

Step-4: Factors of 75145

List of positive integer factors of 75145 that divides 75126 without a remainder.

1, 5, 7, 19, 35, 95, 113, 133, 565, 665, 791, 2147, 3955, 10735, 15029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75126 and 75145. The biggest common factor number is the GCF number.
So the greatest common factor 75126 and 75145 is 19.

Also check out the Least Common Multiple of 75126 and 75145