What is the Greatest Common Factor of 19138 and 19145?

Greatest common factor (GCF) of 19138 and 19145 is 7.

GCF(19138,19145) = 7

We will now calculate the prime factors of 19138 and 19145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19138 and 19145.

How to find the GCF of 19138 and 19145?

We will first find the prime factorization of 19138 and 19145. After we will calculate the factors of 19138 and 19145 and find the biggest common factor number .

Step-1: Prime Factorization of 19138

Prime factors of 19138 are 2, 7, 1367. Prime factorization of 19138 in exponential form is:

19138 = 2¹ × 7¹ × 1367¹

Step-2: Prime Factorization of 19145

Prime factors of 19145 are 5, 7, 547. Prime factorization of 19145 in exponential form is:

19145 = 5¹ × 7¹ × 547¹

Step-3: Factors of 19138

List of positive integer factors of 19138 that divides 19138 without a remainder.

1, 2, 7, 14, 1367, 2734, 9569

Step-4: Factors of 19145

List of positive integer factors of 19145 that divides 19138 without a remainder.

1, 5, 7, 35, 547, 2735, 3829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19138 and 19145. The biggest common factor number is the GCF number.
So the greatest common factor 19138 and 19145 is 7.

Also check out the Least Common Multiple of 19138 and 19145