What is the Greatest Common Factor of 45520 and 45526?

Greatest common factor (GCF) of 45520 and 45526 is 2.

GCF(45520,45526) = 2

We will now calculate the prime factors of 45520 and 45526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45520 and 45526.

How to find the GCF of 45520 and 45526?

We will first find the prime factorization of 45520 and 45526. After we will calculate the factors of 45520 and 45526 and find the biggest common factor number .

Step-1: Prime Factorization of 45520

Prime factors of 45520 are 2, 5, 569. Prime factorization of 45520 in exponential form is:

45520 = 2⁴ × 5¹ × 569¹

Step-2: Prime Factorization of 45526

Prime factors of 45526 are 2, 13, 17, 103. Prime factorization of 45526 in exponential form is:

45526 = 2¹ × 13¹ × 17¹ × 103¹

Step-3: Factors of 45520

List of positive integer factors of 45520 that divides 45520 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 569, 1138, 2276, 2845, 4552, 5690, 9104, 11380, 22760

Step-4: Factors of 45526

List of positive integer factors of 45526 that divides 45520 without a remainder.

1, 2, 13, 17, 26, 34, 103, 206, 221, 442, 1339, 1751, 2678, 3502, 22763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45520 and 45526. The biggest common factor number is the GCF number.
So the greatest common factor 45520 and 45526 is 2.

Also check out the Least Common Multiple of 45520 and 45526