What is the Greatest Common Factor of 45232 and 45242?

Greatest common factor (GCF) of 45232 and 45242 is 2.

GCF(45232,45242) = 2

We will now calculate the prime factors of 45232 and 45242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45232 and 45242.

How to find the GCF of 45232 and 45242?

We will first find the prime factorization of 45232 and 45242. After we will calculate the factors of 45232 and 45242 and find the biggest common factor number .

Step-1: Prime Factorization of 45232

Prime factors of 45232 are 2, 11, 257. Prime factorization of 45232 in exponential form is:

45232 = 2⁴ × 11¹ × 257¹

Step-2: Prime Factorization of 45242

Prime factors of 45242 are 2, 22621. Prime factorization of 45242 in exponential form is:

45242 = 2¹ × 22621¹

Step-3: Factors of 45232

List of positive integer factors of 45232 that divides 45232 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 257, 514, 1028, 2056, 2827, 4112, 5654, 11308, 22616

Step-4: Factors of 45242

List of positive integer factors of 45242 that divides 45232 without a remainder.

1, 2, 22621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45232 and 45242. The biggest common factor number is the GCF number.
So the greatest common factor 45232 and 45242 is 2.

Also check out the Least Common Multiple of 45232 and 45242