What is the Greatest Common Factor of 82236 and 82254?

Greatest common factor (GCF) of 82236 and 82254 is 6.

GCF(82236,82254) = 6

We will now calculate the prime factors of 82236 and 82254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82236 and 82254.

How to find the GCF of 82236 and 82254?

We will first find the prime factorization of 82236 and 82254. After we will calculate the factors of 82236 and 82254 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82254

Prime factors of 82254 are 2, 3, 13709. Prime factorization of 82254 in exponential form is:

82254 = 2¹ × 3¹ × 13709¹

Step-3: Factors of 82236

List of positive integer factors of 82236 that divides 82236 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

Step-4: Factors of 82254

List of positive integer factors of 82254 that divides 82236 without a remainder.

1, 2, 3, 6, 13709, 27418, 41127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82236 and 82254. The biggest common factor number is the GCF number.
So the greatest common factor 82236 and 82254 is 6.

Also check out the Least Common Multiple of 82236 and 82254