What is the Greatest Common Factor of 43142 and 43153?

Greatest common factor (GCF) of 43142 and 43153 is 11.

GCF(43142,43153) = 11

We will now calculate the prime factors of 43142 and 43153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43142 and 43153.

How to find the GCF of 43142 and 43153?

We will first find the prime factorization of 43142 and 43153. After we will calculate the factors of 43142 and 43153 and find the biggest common factor number .

Step-1: Prime Factorization of 43142

Prime factors of 43142 are 2, 11, 37, 53. Prime factorization of 43142 in exponential form is:

43142 = 2¹ × 11¹ × 37¹ × 53¹

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 43142

List of positive integer factors of 43142 that divides 43142 without a remainder.

1, 2, 11, 22, 37, 53, 74, 106, 407, 583, 814, 1166, 1961, 3922, 21571

Step-4: Factors of 43153

List of positive integer factors of 43153 that divides 43142 without a remainder.

1, 11, 3923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43142 and 43153. The biggest common factor number is the GCF number.
So the greatest common factor 43142 and 43153 is 11.

Also check out the Least Common Multiple of 43142 and 43153