What is the Greatest Common Factor of 40209 and 40222?

Greatest common factor (GCF) of 40209 and 40222 is 13.

GCF(40209,40222) = 13

We will now calculate the prime factors of 40209 and 40222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40209 and 40222.

How to find the GCF of 40209 and 40222?

We will first find the prime factorization of 40209 and 40222. After we will calculate the factors of 40209 and 40222 and find the biggest common factor number .

Step-1: Prime Factorization of 40209

Prime factors of 40209 are 3, 13, 1031. Prime factorization of 40209 in exponential form is:

40209 = 3¹ × 13¹ × 1031¹

Step-2: Prime Factorization of 40222

Prime factors of 40222 are 2, 7, 13, 17. Prime factorization of 40222 in exponential form is:

40222 = 2¹ × 7¹ × 13² × 17¹

Step-3: Factors of 40209

List of positive integer factors of 40209 that divides 40209 without a remainder.

1, 3, 13, 39, 1031, 3093, 13403

Step-4: Factors of 40222

List of positive integer factors of 40222 that divides 40209 without a remainder.

1, 2, 7, 13, 14, 17, 26, 34, 91, 119, 169, 182, 221, 238, 338, 442, 1183, 1547, 2366, 2873, 3094, 5746, 20111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40209 and 40222. The biggest common factor number is the GCF number.
So the greatest common factor 40209 and 40222 is 13.

Also check out the Least Common Multiple of 40209 and 40222