What is the Greatest Common Factor of 71214 and 71221?

Greatest common factor (GCF) of 71214 and 71221 is 1.

GCF(71214,71221) = 1

We will now calculate the prime factors of 71214 and 71221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71214 and 71221.

How to find the GCF of 71214 and 71221?

We will first find the prime factorization of 71214 and 71221. After we will calculate the factors of 71214 and 71221 and find the biggest common factor number .

Step-1: Prime Factorization of 71214

Prime factors of 71214 are 2, 3, 11, 13, 83. Prime factorization of 71214 in exponential form is:

71214 = 2¹ × 3¹ × 11¹ × 13¹ × 83¹

Step-2: Prime Factorization of 71221

Prime factors of 71221 are 67, 1063. Prime factorization of 71221 in exponential form is:

71221 = 67¹ × 1063¹

Step-3: Factors of 71214

List of positive integer factors of 71214 that divides 71214 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 83, 143, 166, 249, 286, 429, 498, 858, 913, 1079, 1826, 2158, 2739, 3237, 5478, 6474, 11869, 23738, 35607

Step-4: Factors of 71221

List of positive integer factors of 71221 that divides 71214 without a remainder.

1, 67, 1063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71214 and 71221. The biggest common factor number is the GCF number.
So the greatest common factor 71214 and 71221 is 1.

Also check out the Least Common Multiple of 71214 and 71221