What is the Greatest Common Factor of 53529 and 53544?

Greatest common factor (GCF) of 53529 and 53544 is 3.

GCF(53529,53544) = 3

We will now calculate the prime factors of 53529 and 53544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53529 and 53544.

How to find the GCF of 53529 and 53544?

We will first find the prime factorization of 53529 and 53544. After we will calculate the factors of 53529 and 53544 and find the biggest common factor number .

Step-1: Prime Factorization of 53529

Prime factors of 53529 are 3, 7, 2549. Prime factorization of 53529 in exponential form is:

53529 = 3¹ × 7¹ × 2549¹

Step-2: Prime Factorization of 53544

Prime factors of 53544 are 2, 3, 23, 97. Prime factorization of 53544 in exponential form is:

53544 = 2³ × 3¹ × 23¹ × 97¹

Step-3: Factors of 53529

List of positive integer factors of 53529 that divides 53529 without a remainder.

1, 3, 7, 21, 2549, 7647, 17843

Step-4: Factors of 53544

List of positive integer factors of 53544 that divides 53529 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 97, 138, 184, 194, 276, 291, 388, 552, 582, 776, 1164, 2231, 2328, 4462, 6693, 8924, 13386, 17848, 26772

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53529 and 53544. The biggest common factor number is the GCF number.
So the greatest common factor 53529 and 53544 is 3.

Also check out the Least Common Multiple of 53529 and 53544