What is the Greatest Common Factor of 1524 and 1534?

Greatest common factor (GCF) of 1524 and 1534 is 2.

GCF(1524,1534) = 2

We will now calculate the prime factors of 1524 and 1534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1524 and 1534.

How to find the GCF of 1524 and 1534?

We will first find the prime factorization of 1524 and 1534. After we will calculate the factors of 1524 and 1534 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 1534

Prime factors of 1534 are 2, 13, 59. Prime factorization of 1534 in exponential form is:

1534 = 2¹ × 13¹ × 59¹

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 1534

List of positive integer factors of 1534 that divides 1524 without a remainder.

1, 2, 13, 26, 59, 118, 767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1524 and 1534. The biggest common factor number is the GCF number.
So the greatest common factor 1524 and 1534 is 2.

Also check out the Least Common Multiple of 1524 and 1534