What is the Greatest Common Factor of 36534 and 36548?

Greatest common factor (GCF) of 36534 and 36548 is 2.

GCF(36534,36548) = 2

We will now calculate the prime factors of 36534 and 36548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36534 and 36548.

How to find the GCF of 36534 and 36548?

We will first find the prime factorization of 36534 and 36548. After we will calculate the factors of 36534 and 36548 and find the biggest common factor number .

Step-1: Prime Factorization of 36534

Prime factors of 36534 are 2, 3, 6089. Prime factorization of 36534 in exponential form is:

36534 = 2¹ × 3¹ × 6089¹

Step-2: Prime Factorization of 36548

Prime factors of 36548 are 2, 9137. Prime factorization of 36548 in exponential form is:

36548 = 2² × 9137¹

Step-3: Factors of 36534

List of positive integer factors of 36534 that divides 36534 without a remainder.

1, 2, 3, 6, 6089, 12178, 18267

Step-4: Factors of 36548

List of positive integer factors of 36548 that divides 36534 without a remainder.

1, 2, 4, 9137, 18274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36534 and 36548. The biggest common factor number is the GCF number.
So the greatest common factor 36534 and 36548 is 2.

Also check out the Least Common Multiple of 36534 and 36548