What is the Greatest Common Factor of 71214 and 71227?

Greatest common factor (GCF) of 71214 and 71227 is 13.

GCF(71214,71227) = 13

We will now calculate the prime factors of 71214 and 71227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71214 and 71227.

How to find the GCF of 71214 and 71227?

We will first find the prime factorization of 71214 and 71227. After we will calculate the factors of 71214 and 71227 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 71227

Prime factors of 71227 are 13, 5479. Prime factorization of 71227 in exponential form is:

71227 = 13¹ × 5479¹

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 71227

List of positive integer factors of 71227 that divides 71214 without a remainder.

1, 13, 5479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71214 and 71227. The biggest common factor number is the GCF number.
So the greatest common factor 71214 and 71227 is 13.

Also check out the Least Common Multiple of 71214 and 71227