What is the Greatest Common Factor of 43149 and 43153?

Greatest common factor (GCF) of 43149 and 43153 is 1.

GCF(43149,43153) = 1

We will now calculate the prime factors of 43149 and 43153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43149 and 43153.

How to find the GCF of 43149 and 43153?

We will first find the prime factorization of 43149 and 43153. After we will calculate the factors of 43149 and 43153 and find the biggest common factor number .

Step-1: Prime Factorization of 43149

Prime factors of 43149 are 3, 19, 757. Prime factorization of 43149 in exponential form is:

43149 = 3¹ × 19¹ × 757¹

Step-2: Prime Factorization of 43153

Prime factors of 43153 are 11, 3923. Prime factorization of 43153 in exponential form is:

43153 = 11¹ × 3923¹

Step-3: Factors of 43149

List of positive integer factors of 43149 that divides 43149 without a remainder.

1, 3, 19, 57, 757, 2271, 14383

Step-4: Factors of 43153

List of positive integer factors of 43153 that divides 43149 without a remainder.

1, 11, 3923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43149 and 43153. The biggest common factor number is the GCF number.
So the greatest common factor 43149 and 43153 is 1.

Also check out the Least Common Multiple of 43149 and 43153