What is the Greatest Common Factor of 40209 and 40214?

Greatest common factor (GCF) of 40209 and 40214 is 1.

GCF(40209,40214) = 1

We will now calculate the prime factors of 40209 and 40214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40209 and 40214.

How to find the GCF of 40209 and 40214?

We will first find the prime factorization of 40209 and 40214. After we will calculate the factors of 40209 and 40214 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 40214

Prime factors of 40214 are 2, 20107. Prime factorization of 40214 in exponential form is:

40214 = 2¹ × 20107¹

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 40214

List of positive integer factors of 40214 that divides 40209 without a remainder.

1, 2, 20107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40209 and 40214. The biggest common factor number is the GCF number.
So the greatest common factor 40209 and 40214 is 1.

Also check out the Least Common Multiple of 40209 and 40214