What is the Greatest Common Factor of 40214 and 40229?

Greatest common factor (GCF) of 40214 and 40229 is 1.

GCF(40214,40229) = 1

We will now calculate the prime factors of 40214 and 40229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40214 and 40229.

How to find the GCF of 40214 and 40229?

We will first find the prime factorization of 40214 and 40229. After we will calculate the factors of 40214 and 40229 and find the biggest common factor number .

Step-1: Prime Factorization of 40214

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

40214 = 2¹ × 20107¹

Step-2: Prime Factorization of 40229

Prime factors of 40229 are 7, 821. Prime factorization of 40229 in exponential form is:

40229 = 7² × 821¹

Step-3: Factors of 40214

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

1, 2, 20107

Step-4: Factors of 40229

List of positive integer factors of 40229 that divides 40214 without a remainder.

1, 7, 49, 821, 5747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40214 and 40229. The biggest common factor number is the GCF number.
So the greatest common factor 40214 and 40229 is 1.

Also check out the Least Common Multiple of 40214 and 40229