What is the Greatest Common Factor of 40446 and 40453?

Greatest common factor (GCF) of 40446 and 40453 is 7.

GCF(40446,40453) = 7

We will now calculate the prime factors of 40446 and 40453, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40446 and 40453.

How to find the GCF of 40446 and 40453?

We will first find the prime factorization of 40446 and 40453. After we will calculate the factors of 40446 and 40453 and find the biggest common factor number .

Step-1: Prime Factorization of 40446

Prime factors of 40446 are 2, 3, 7, 107. Prime factorization of 40446 in exponential form is:

40446 = 2¹ × 3³ × 7¹ × 107¹

Step-2: Prime Factorization of 40453

Prime factors of 40453 are 7, 5779. Prime factorization of 40453 in exponential form is:

40453 = 7¹ × 5779¹

Step-3: Factors of 40446

List of positive integer factors of 40446 that divides 40446 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 107, 126, 189, 214, 321, 378, 642, 749, 963, 1498, 1926, 2247, 2889, 4494, 5778, 6741, 13482, 20223

Step-4: Factors of 40453

List of positive integer factors of 40453 that divides 40446 without a remainder.

1, 7, 5779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40446 and 40453. The biggest common factor number is the GCF number.
So the greatest common factor 40446 and 40453 is 7.

Also check out the Least Common Multiple of 40446 and 40453