What is the Greatest Common Factor of 45608 and 45620?

Greatest common factor (GCF) of 45608 and 45620 is 4.

GCF(45608,45620) = 4

We will now calculate the prime factors of 45608 and 45620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45608 and 45620.

How to find the GCF of 45608 and 45620?

We will first find the prime factorization of 45608 and 45620. After we will calculate the factors of 45608 and 45620 and find the biggest common factor number .

Step-1: Prime Factorization of 45608

Prime factors of 45608 are 2, 5701. Prime factorization of 45608 in exponential form is:

45608 = 2³ × 5701¹

Step-2: Prime Factorization of 45620

Prime factors of 45620 are 2, 5, 2281. Prime factorization of 45620 in exponential form is:

45620 = 2² × 5¹ × 2281¹

Step-3: Factors of 45608

List of positive integer factors of 45608 that divides 45608 without a remainder.

1, 2, 4, 8, 5701, 11402, 22804

Step-4: Factors of 45620

List of positive integer factors of 45620 that divides 45608 without a remainder.

1, 2, 4, 5, 10, 20, 2281, 4562, 9124, 11405, 22810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45608 and 45620. The biggest common factor number is the GCF number.
So the greatest common factor 45608 and 45620 is 4.

Also check out the Least Common Multiple of 45608 and 45620