What is the Greatest Common Factor of 1544 and 1562?

Greatest common factor (GCF) of 1544 and 1562 is 2.

GCF(1544,1562) = 2

We will now calculate the prime factors of 1544 and 1562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1544 and 1562.

How to find the GCF of 1544 and 1562?

We will first find the prime factorization of 1544 and 1562. After we will calculate the factors of 1544 and 1562 and find the biggest common factor number .

Step-1: Prime Factorization of 1544

Prime factors of 1544 are 2, 193. Prime factorization of 1544 in exponential form is:

1544 = 2³ × 193¹

Step-2: Prime Factorization of 1562

Prime factors of 1562 are 2, 11, 71. Prime factorization of 1562 in exponential form is:

1562 = 2¹ × 11¹ × 71¹

Step-3: Factors of 1544

List of positive integer factors of 1544 that divides 1544 without a remainder.

1, 2, 4, 8, 193, 386, 772

Step-4: Factors of 1562

List of positive integer factors of 1562 that divides 1544 without a remainder.

1, 2, 11, 22, 71, 142, 781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1544 and 1562. The biggest common factor number is the GCF number.
So the greatest common factor 1544 and 1562 is 2.

Also check out the Least Common Multiple of 1544 and 1562