What is the Greatest Common Factor of 45680 and 45698?

Greatest common factor (GCF) of 45680 and 45698 is 2.

GCF(45680,45698) = 2

We will now calculate the prime factors of 45680 and 45698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45680 and 45698.

How to find the GCF of 45680 and 45698?

We will first find the prime factorization of 45680 and 45698. After we will calculate the factors of 45680 and 45698 and find the biggest common factor number .

Step-1: Prime Factorization of 45680

Prime factors of 45680 are 2, 5, 571. Prime factorization of 45680 in exponential form is:

45680 = 2⁴ × 5¹ × 571¹

Step-2: Prime Factorization of 45698

Prime factors of 45698 are 2, 73, 313. Prime factorization of 45698 in exponential form is:

45698 = 2¹ × 73¹ × 313¹

Step-3: Factors of 45680

List of positive integer factors of 45680 that divides 45680 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 571, 1142, 2284, 2855, 4568, 5710, 9136, 11420, 22840

Step-4: Factors of 45698

List of positive integer factors of 45698 that divides 45680 without a remainder.

1, 2, 73, 146, 313, 626, 22849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45680 and 45698. The biggest common factor number is the GCF number.
So the greatest common factor 45680 and 45698 is 2.

Also check out the Least Common Multiple of 45680 and 45698