What is the Greatest Common Factor of 45516 and 45536?

Greatest common factor (GCF) of 45516 and 45536 is 4.

GCF(45516,45536) = 4

We will now calculate the prime factors of 45516 and 45536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45516 and 45536.

How to find the GCF of 45516 and 45536?

We will first find the prime factorization of 45516 and 45536. After we will calculate the factors of 45516 and 45536 and find the biggest common factor number .

Step-1: Prime Factorization of 45516

Prime factors of 45516 are 2, 3, 3793. Prime factorization of 45516 in exponential form is:

45516 = 2² × 3¹ × 3793¹

Step-2: Prime Factorization of 45536

Prime factors of 45536 are 2, 1423. Prime factorization of 45536 in exponential form is:

45536 = 2⁵ × 1423¹

Step-3: Factors of 45516

List of positive integer factors of 45516 that divides 45516 without a remainder.

1, 2, 3, 4, 6, 12, 3793, 7586, 11379, 15172, 22758

Step-4: Factors of 45536

List of positive integer factors of 45536 that divides 45516 without a remainder.

1, 2, 4, 8, 16, 32, 1423, 2846, 5692, 11384, 22768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45516 and 45536. The biggest common factor number is the GCF number.
So the greatest common factor 45516 and 45536 is 4.

Also check out the Least Common Multiple of 45516 and 45536