What is the Greatest Common Factor of 40512 and 40528?

Greatest common factor (GCF) of 40512 and 40528 is 16.

GCF(40512,40528) = 16

We will now calculate the prime factors of 40512 and 40528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40512 and 40528.

How to find the GCF of 40512 and 40528?

We will first find the prime factorization of 40512 and 40528. After we will calculate the factors of 40512 and 40528 and find the biggest common factor number .

Step-1: Prime Factorization of 40512

Prime factors of 40512 are 2, 3, 211. Prime factorization of 40512 in exponential form is:

40512 = 2⁶ × 3¹ × 211¹

Step-2: 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-3: Factors of 40512

List of positive integer factors of 40512 that divides 40512 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 211, 422, 633, 844, 1266, 1688, 2532, 3376, 5064, 6752, 10128, 13504, 20256

Step-4: Factors of 40528

List of positive integer factors of 40528 that divides 40512 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40512 and 40528. The biggest common factor number is the GCF number.
So the greatest common factor 40512 and 40528 is 16.

Also check out the Least Common Multiple of 40512 and 40528