What is the Greatest Common Factor of 40528 and 40546?

Greatest common factor (GCF) of 40528 and 40546 is 2.

GCF(40528,40546) = 2

We will now calculate the prime factors of 40528 and 40546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40528 and 40546.

How to find the GCF of 40528 and 40546?

We will first find the prime factorization of 40528 and 40546. After we will calculate the factors of 40528 and 40546 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 40546

Prime factors of 40546 are 2, 11, 19, 97. Prime factorization of 40546 in exponential form is:

40546 = 2¹ × 11¹ × 19¹ × 97¹

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 40546

List of positive integer factors of 40546 that divides 40528 without a remainder.

1, 2, 11, 19, 22, 38, 97, 194, 209, 418, 1067, 1843, 2134, 3686, 20273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40528 and 40546. The biggest common factor number is the GCF number.
So the greatest common factor 40528 and 40546 is 2.

Also check out the Least Common Multiple of 40528 and 40546