What is the Greatest Common Factor of 55142 and 55162?

Greatest common factor (GCF) of 55142 and 55162 is 2.

GCF(55142,55162) = 2

We will now calculate the prime factors of 55142 and 55162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55142 and 55162.

How to find the GCF of 55142 and 55162?

We will first find the prime factorization of 55142 and 55162. After we will calculate the factors of 55142 and 55162 and find the biggest common factor number .

Step-1: Prime Factorization of 55142

Prime factors of 55142 are 2, 79, 349. Prime factorization of 55142 in exponential form is:

55142 = 2¹ × 79¹ × 349¹

Step-2: Prime Factorization of 55162

Prime factors of 55162 are 2, 27581. Prime factorization of 55162 in exponential form is:

55162 = 2¹ × 27581¹

Step-3: Factors of 55142

List of positive integer factors of 55142 that divides 55142 without a remainder.

1, 2, 79, 158, 349, 698, 27571

Step-4: Factors of 55162

List of positive integer factors of 55162 that divides 55142 without a remainder.

1, 2, 27581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55142 and 55162. The biggest common factor number is the GCF number.
So the greatest common factor 55142 and 55162 is 2.

Also check out the Least Common Multiple of 55142 and 55162