What is the Greatest Common Factor of 45142 and 45156?

Greatest common factor (GCF) of 45142 and 45156 is 2.

GCF(45142,45156) = 2

We will now calculate the prime factors of 45142 and 45156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45142 and 45156.

How to find the GCF of 45142 and 45156?

We will first find the prime factorization of 45142 and 45156. After we will calculate the factors of 45142 and 45156 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 45156

Prime factors of 45156 are 2, 3, 53, 71. Prime factorization of 45156 in exponential form is:

45156 = 2² × 3¹ × 53¹ × 71¹

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 45156

List of positive integer factors of 45156 that divides 45142 without a remainder.

1, 2, 3, 4, 6, 12, 53, 71, 106, 142, 159, 212, 213, 284, 318, 426, 636, 852, 3763, 7526, 11289, 15052, 22578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45142 and 45156. The biggest common factor number is the GCF number.
So the greatest common factor 45142 and 45156 is 2.

Also check out the Least Common Multiple of 45142 and 45156