What is the Greatest Common Factor of 45578 and 45588?

Greatest common factor (GCF) of 45578 and 45588 is 2.

GCF(45578,45588) = 2

We will now calculate the prime factors of 45578 and 45588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45578 and 45588.

How to find the GCF of 45578 and 45588?

We will first find the prime factorization of 45578 and 45588. After we will calculate the factors of 45578 and 45588 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45588

Prime factors of 45588 are 2, 3, 29, 131. Prime factorization of 45588 in exponential form is:

45588 = 2² × 3¹ × 29¹ × 131¹

Step-3: Factors of 45578

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

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

Step-4: Factors of 45588

List of positive integer factors of 45588 that divides 45578 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 131, 174, 262, 348, 393, 524, 786, 1572, 3799, 7598, 11397, 15196, 22794

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45578 and 45588. The biggest common factor number is the GCF number.
So the greatest common factor 45578 and 45588 is 2.

Also check out the Least Common Multiple of 45578 and 45588