What is the Greatest Common Factor of 4536 and 4546?

Greatest common factor (GCF) of 4536 and 4546 is 2.

GCF(4536,4546) = 2

We will now calculate the prime factors of 4536 and 4546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4536 and 4546.

How to find the GCF of 4536 and 4546?

We will first find the prime factorization of 4536 and 4546. After we will calculate the factors of 4536 and 4546 and find the biggest common factor number .

Step-1: Prime Factorization of 4536

Prime factors of 4536 are 2, 3, 7. Prime factorization of 4536 in exponential form is:

4536 = 2³ × 3⁴ × 7¹

Step-2: Prime Factorization of 4546

Prime factors of 4546 are 2, 2273. Prime factorization of 4546 in exponential form is:

4546 = 2¹ × 2273¹

Step-3: Factors of 4536

List of positive integer factors of 4536 that divides 4536 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 81, 84, 108, 126, 162, 168, 189, 216, 252, 324, 378, 504, 567, 648, 756, 1134, 1512, 2268

Step-4: Factors of 4546

List of positive integer factors of 4546 that divides 4536 without a remainder.

1, 2, 2273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4536 and 4546. The biggest common factor number is the GCF number.
So the greatest common factor 4536 and 4546 is 2.

Also check out the Least Common Multiple of 4536 and 4546