What is the Greatest Common Factor of 45252 and 45266?

Greatest common factor (GCF) of 45252 and 45266 is 2.

GCF(45252,45266) = 2

We will now calculate the prime factors of 45252 and 45266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45252 and 45266.

How to find the GCF of 45252 and 45266?

We will first find the prime factorization of 45252 and 45266. After we will calculate the factors of 45252 and 45266 and find the biggest common factor number .

Step-1: Prime Factorization of 45252

Prime factors of 45252 are 2, 3, 419. Prime factorization of 45252 in exponential form is:

45252 = 2² × 3³ × 419¹

Step-2: Prime Factorization of 45266

Prime factors of 45266 are 2, 13, 1741. Prime factorization of 45266 in exponential form is:

45266 = 2¹ × 13¹ × 1741¹

Step-3: Factors of 45252

List of positive integer factors of 45252 that divides 45252 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 419, 838, 1257, 1676, 2514, 3771, 5028, 7542, 11313, 15084, 22626

Step-4: Factors of 45266

List of positive integer factors of 45266 that divides 45252 without a remainder.

1, 2, 13, 26, 1741, 3482, 22633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45252 and 45266. The biggest common factor number is the GCF number.
So the greatest common factor 45252 and 45266 is 2.

Also check out the Least Common Multiple of 45252 and 45266