What is the Greatest Common Factor of 45562 and 45578?

Greatest common factor (GCF) of 45562 and 45578 is 2.

GCF(45562,45578) = 2

We will now calculate the prime factors of 45562 and 45578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45562 and 45578.

How to find the GCF of 45562 and 45578?

We will first find the prime factorization of 45562 and 45578. After we will calculate the factors of 45562 and 45578 and find the biggest common factor number .

Step-1: Prime Factorization of 45562

Prime factors of 45562 are 2, 11, 19, 109. Prime factorization of 45562 in exponential form is:

45562 = 2¹ × 11¹ × 19¹ × 109¹

Step-2: Prime Factorization of 45578

Prime factors of 45578 are 2, 13, 1753. Prime factorization of 45578 in exponential form is:

45578 = 2¹ × 13¹ × 1753¹

Step-3: Factors of 45562

List of positive integer factors of 45562 that divides 45562 without a remainder.

1, 2, 11, 19, 22, 38, 109, 209, 218, 418, 1199, 2071, 2398, 4142, 22781

Step-4: Factors of 45578

List of positive integer factors of 45578 that divides 45562 without a remainder.

1, 2, 13, 26, 1753, 3506, 22789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45562 and 45578. The biggest common factor number is the GCF number.
So the greatest common factor 45562 and 45578 is 2.

Also check out the Least Common Multiple of 45562 and 45578