What is the Greatest Common Factor of 1538 and 1546?

Greatest common factor (GCF) of 1538 and 1546 is 2.

GCF(1538,1546) = 2

We will now calculate the prime factors of 1538 and 1546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1538 and 1546.

How to find the GCF of 1538 and 1546?

We will first find the prime factorization of 1538 and 1546. After we will calculate the factors of 1538 and 1546 and find the biggest common factor number .

Step-1: Prime Factorization of 1538

Prime factors of 1538 are 2, 769. Prime factorization of 1538 in exponential form is:

1538 = 2¹ × 769¹

Step-2: Prime Factorization of 1546

Prime factors of 1546 are 2, 773. Prime factorization of 1546 in exponential form is:

1546 = 2¹ × 773¹

Step-3: Factors of 1538

List of positive integer factors of 1538 that divides 1538 without a remainder.

1, 2, 769

Step-4: Factors of 1546

List of positive integer factors of 1546 that divides 1538 without a remainder.

1, 2, 773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1538 and 1546. The biggest common factor number is the GCF number.
So the greatest common factor 1538 and 1546 is 2.

Also check out the Least Common Multiple of 1538 and 1546