What is the Greatest Common Factor of 82227 and 82236?

Greatest common factor (GCF) of 82227 and 82236 is 3.

GCF(82227,82236) = 3

We will now calculate the prime factors of 82227 and 82236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82227 and 82236.

How to find the GCF of 82227 and 82236?

We will first find the prime factorization of 82227 and 82236. After we will calculate the factors of 82227 and 82236 and find the biggest common factor number .

Step-1: Prime Factorization of 82227

Prime factors of 82227 are 3, 27409. Prime factorization of 82227 in exponential form is:

82227 = 3¹ × 27409¹

Step-2: Prime Factorization of 82236

Prime factors of 82236 are 2, 3, 7, 11, 89. Prime factorization of 82236 in exponential form is:

82236 = 2² × 3¹ × 7¹ × 11¹ × 89¹

Step-3: Factors of 82227

List of positive integer factors of 82227 that divides 82227 without a remainder.

1, 3, 27409

Step-4: Factors of 82236

List of positive integer factors of 82236 that divides 82227 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 89, 132, 154, 178, 231, 267, 308, 356, 462, 534, 623, 924, 979, 1068, 1246, 1869, 1958, 2492, 2937, 3738, 3916, 5874, 6853, 7476, 11748, 13706, 20559, 27412, 41118

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82227 and 82236. The biggest common factor number is the GCF number.
So the greatest common factor 82227 and 82236 is 3.

Also check out the Least Common Multiple of 82227 and 82236