What is the Greatest Common Factor of 45342 and 45362?

Greatest common factor (GCF) of 45342 and 45362 is 2.

GCF(45342,45362) = 2

We will now calculate the prime factors of 45342 and 45362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45342 and 45362.

How to find the GCF of 45342 and 45362?

We will first find the prime factorization of 45342 and 45362. After we will calculate the factors of 45342 and 45362 and find the biggest common factor number .

Step-1: Prime Factorization of 45342

Prime factors of 45342 are 2, 3, 11, 229. Prime factorization of 45342 in exponential form is:

45342 = 2¹ × 3² × 11¹ × 229¹

Step-2: Prime Factorization of 45362

Prime factors of 45362 are 2, 37, 613. Prime factorization of 45362 in exponential form is:

45362 = 2¹ × 37¹ × 613¹

Step-3: Factors of 45342

List of positive integer factors of 45342 that divides 45342 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 229, 458, 687, 1374, 2061, 2519, 4122, 5038, 7557, 15114, 22671

Step-4: Factors of 45362

List of positive integer factors of 45362 that divides 45342 without a remainder.

1, 2, 37, 74, 613, 1226, 22681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45342 and 45362. The biggest common factor number is the GCF number.
So the greatest common factor 45342 and 45362 is 2.

Also check out the Least Common Multiple of 45342 and 45362