What is the Greatest Common Factor of 39214 and 39221?

Greatest common factor (GCF) of 39214 and 39221 is 7.

GCF(39214,39221) = 7

We will now calculate the prime factors of 39214 and 39221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39214 and 39221.

How to find the GCF of 39214 and 39221?

We will first find the prime factorization of 39214 and 39221. After we will calculate the factors of 39214 and 39221 and find the biggest common factor number .

Step-1: Prime Factorization of 39214

Prime factors of 39214 are 2, 7, 2801. Prime factorization of 39214 in exponential form is:

39214 = 2¹ × 7¹ × 2801¹

Step-2: Prime Factorization of 39221

Prime factors of 39221 are 7, 13, 431. Prime factorization of 39221 in exponential form is:

39221 = 7¹ × 13¹ × 431¹

Step-3: Factors of 39214

List of positive integer factors of 39214 that divides 39214 without a remainder.

1, 2, 7, 14, 2801, 5602, 19607

Step-4: Factors of 39221

List of positive integer factors of 39221 that divides 39214 without a remainder.

1, 7, 13, 91, 431, 3017, 5603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39214 and 39221. The biggest common factor number is the GCF number.
So the greatest common factor 39214 and 39221 is 7.

Also check out the Least Common Multiple of 39214 and 39221