What is the Greatest Common Factor of 1524 and 1537?

Greatest common factor (GCF) of 1524 and 1537 is 1.

GCF(1524,1537) = 1

We will now calculate the prime factors of 1524 and 1537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1524 and 1537.

How to find the GCF of 1524 and 1537?

We will first find the prime factorization of 1524 and 1537. After we will calculate the factors of 1524 and 1537 and find the biggest common factor number .

Step-1: Prime Factorization of 1524

Prime factors of 1524 are 2, 3, 127. Prime factorization of 1524 in exponential form is:

1524 = 2² × 3¹ × 127¹

Step-2: Prime Factorization of 1537

Prime factors of 1537 are 29, 53. Prime factorization of 1537 in exponential form is:

1537 = 29¹ × 53¹

Step-3: Factors of 1524

List of positive integer factors of 1524 that divides 1524 without a remainder.

1, 2, 3, 4, 6, 12, 127, 254, 381, 508, 762

Step-4: Factors of 1537

List of positive integer factors of 1537 that divides 1524 without a remainder.

1, 29, 53

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1524 and 1537. The biggest common factor number is the GCF number.
So the greatest common factor 1524 and 1537 is 1.

Also check out the Least Common Multiple of 1524 and 1537