What is the Greatest Common Factor of 40528 and 40545?

Greatest common factor (GCF) of 40528 and 40545 is 17.

GCF(40528,40545) = 17

We will now calculate the prime factors of 40528 and 40545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40528 and 40545.

How to find the GCF of 40528 and 40545?

We will first find the prime factorization of 40528 and 40545. After we will calculate the factors of 40528 and 40545 and find the biggest common factor number .

Step-1: Prime Factorization of 40528

Prime factors of 40528 are 2, 17, 149. Prime factorization of 40528 in exponential form is:

40528 = 2⁴ × 17¹ × 149¹

Step-2: Prime Factorization of 40545

Prime factors of 40545 are 3, 5, 17, 53. Prime factorization of 40545 in exponential form is:

40545 = 3² × 5¹ × 17¹ × 53¹

Step-3: Factors of 40528

List of positive integer factors of 40528 that divides 40528 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 149, 272, 298, 596, 1192, 2384, 2533, 5066, 10132, 20264

Step-4: Factors of 40545

List of positive integer factors of 40545 that divides 40528 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 53, 85, 153, 159, 255, 265, 477, 765, 795, 901, 2385, 2703, 4505, 8109, 13515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40528 and 40545. The biggest common factor number is the GCF number.
So the greatest common factor 40528 and 40545 is 17.

Also check out the Least Common Multiple of 40528 and 40545