What is the Greatest Common Factor of 40524 and 40534?

Greatest common factor (GCF) of 40524 and 40534 is 2.

GCF(40524,40534) = 2

We will now calculate the prime factors of 40524 and 40534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40524 and 40534.

How to find the GCF of 40524 and 40534?

We will first find the prime factorization of 40524 and 40534. After we will calculate the factors of 40524 and 40534 and find the biggest common factor number .

Step-1: Prime Factorization of 40524

Prime factors of 40524 are 2, 3, 11, 307. Prime factorization of 40524 in exponential form is:

40524 = 2² × 3¹ × 11¹ × 307¹

Step-2: Prime Factorization of 40534

Prime factors of 40534 are 2, 13, 1559. Prime factorization of 40534 in exponential form is:

40534 = 2¹ × 13¹ × 1559¹

Step-3: Factors of 40524

List of positive integer factors of 40524 that divides 40524 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 307, 614, 921, 1228, 1842, 3377, 3684, 6754, 10131, 13508, 20262

Step-4: Factors of 40534

List of positive integer factors of 40534 that divides 40524 without a remainder.

1, 2, 13, 26, 1559, 3118, 20267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40524 and 40534. The biggest common factor number is the GCF number.
So the greatest common factor 40524 and 40534 is 2.

Also check out the Least Common Multiple of 40524 and 40534