What is the Greatest Common Factor of 19538 and 19546?

Greatest common factor (GCF) of 19538 and 19546 is 2.

GCF(19538,19546) = 2

We will now calculate the prime factors of 19538 and 19546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19538 and 19546.

How to find the GCF of 19538 and 19546?

We will first find the prime factorization of 19538 and 19546. After we will calculate the factors of 19538 and 19546 and find the biggest common factor number .

Step-1: Prime Factorization of 19538

Prime factors of 19538 are 2, 9769. Prime factorization of 19538 in exponential form is:

19538 = 2¹ × 9769¹

Step-2: Prime Factorization of 19546

Prime factors of 19546 are 2, 29, 337. Prime factorization of 19546 in exponential form is:

19546 = 2¹ × 29¹ × 337¹

Step-3: Factors of 19538

List of positive integer factors of 19538 that divides 19538 without a remainder.

1, 2, 9769

Step-4: Factors of 19546

List of positive integer factors of 19546 that divides 19538 without a remainder.

1, 2, 29, 58, 337, 674, 9773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19538 and 19546. The biggest common factor number is the GCF number.
So the greatest common factor 19538 and 19546 is 2.

Also check out the Least Common Multiple of 19538 and 19546