What is the Greatest Common Factor of 53574 and 53586?

Greatest common factor (GCF) of 53574 and 53586 is 6.

GCF(53574,53586) = 6

We will now calculate the prime factors of 53574 and 53586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53574 and 53586.

How to find the GCF of 53574 and 53586?

We will first find the prime factorization of 53574 and 53586. After we will calculate the factors of 53574 and 53586 and find the biggest common factor number .

Step-1: Prime Factorization of 53574

Prime factors of 53574 are 2, 3, 8929. Prime factorization of 53574 in exponential form is:

53574 = 2¹ × 3¹ × 8929¹

Step-2: Prime Factorization of 53586

Prime factors of 53586 are 2, 3, 13, 229. Prime factorization of 53586 in exponential form is:

53586 = 2¹ × 3² × 13¹ × 229¹

Step-3: Factors of 53574

List of positive integer factors of 53574 that divides 53574 without a remainder.

1, 2, 3, 6, 8929, 17858, 26787

Step-4: Factors of 53586

List of positive integer factors of 53586 that divides 53574 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 229, 234, 458, 687, 1374, 2061, 2977, 4122, 5954, 8931, 17862, 26793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53574 and 53586. The biggest common factor number is the GCF number.
So the greatest common factor 53574 and 53586 is 6.

Also check out the Least Common Multiple of 53574 and 53586