What is the Greatest Common Factor of 14536 and 14546?

Greatest common factor (GCF) of 14536 and 14546 is 2.

GCF(14536,14546) = 2

We will now calculate the prime factors of 14536 and 14546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14536 and 14546.

How to find the GCF of 14536 and 14546?

We will first find the prime factorization of 14536 and 14546. After we will calculate the factors of 14536 and 14546 and find the biggest common factor number .

Step-1: Prime Factorization of 14536

Prime factors of 14536 are 2, 23, 79. Prime factorization of 14536 in exponential form is:

14536 = 2³ × 23¹ × 79¹

Step-2: Prime Factorization of 14546

Prime factors of 14546 are 2, 7, 1039. Prime factorization of 14546 in exponential form is:

14546 = 2¹ × 7¹ × 1039¹

Step-3: Factors of 14536

List of positive integer factors of 14536 that divides 14536 without a remainder.

1, 2, 4, 8, 23, 46, 79, 92, 158, 184, 316, 632, 1817, 3634, 7268

Step-4: Factors of 14546

List of positive integer factors of 14546 that divides 14536 without a remainder.

1, 2, 7, 14, 1039, 2078, 7273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14536 and 14546. The biggest common factor number is the GCF number.
So the greatest common factor 14536 and 14546 is 2.

Also check out the Least Common Multiple of 14536 and 14546