What is the Greatest Common Factor of 45142 and 45162?

Greatest common factor (GCF) of 45142 and 45162 is 2.

GCF(45142,45162) = 2

We will now calculate the prime factors of 45142 and 45162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45142 and 45162.

How to find the GCF of 45142 and 45162?

We will first find the prime factorization of 45142 and 45162. After we will calculate the factors of 45142 and 45162 and find the biggest common factor number .

Step-1: Prime Factorization of 45142

Prime factors of 45142 are 2, 22571. Prime factorization of 45142 in exponential form is:

45142 = 2¹ × 22571¹

Step-2: Prime Factorization of 45162

Prime factors of 45162 are 2, 3, 13, 193. Prime factorization of 45162 in exponential form is:

45162 = 2¹ × 3² × 13¹ × 193¹

Step-3: Factors of 45142

List of positive integer factors of 45142 that divides 45142 without a remainder.

1, 2, 22571

Step-4: Factors of 45162

List of positive integer factors of 45162 that divides 45142 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 193, 234, 386, 579, 1158, 1737, 2509, 3474, 5018, 7527, 15054, 22581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45142 and 45162. The biggest common factor number is the GCF number.
So the greatest common factor 45142 and 45162 is 2.

Also check out the Least Common Multiple of 45142 and 45162