What is the Greatest Common Factor of 82260 and 82274?

Greatest common factor (GCF) of 82260 and 82274 is 2.

GCF(82260,82274) = 2

We will now calculate the prime factors of 82260 and 82274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82260 and 82274.

How to find the GCF of 82260 and 82274?

We will first find the prime factorization of 82260 and 82274. After we will calculate the factors of 82260 and 82274 and find the biggest common factor number .

Step-1: Prime Factorization of 82260

Prime factors of 82260 are 2, 3, 5, 457. Prime factorization of 82260 in exponential form is:

82260 = 2² × 3² × 5¹ × 457¹

Step-2: Prime Factorization of 82274

Prime factors of 82274 are 2, 31, 1327. Prime factorization of 82274 in exponential form is:

82274 = 2¹ × 31¹ × 1327¹

Step-3: Factors of 82260

List of positive integer factors of 82260 that divides 82260 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 457, 914, 1371, 1828, 2285, 2742, 4113, 4570, 5484, 6855, 8226, 9140, 13710, 16452, 20565, 27420, 41130

Step-4: Factors of 82274

List of positive integer factors of 82274 that divides 82260 without a remainder.

1, 2, 31, 62, 1327, 2654, 41137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82260 and 82274. The biggest common factor number is the GCF number.
So the greatest common factor 82260 and 82274 is 2.

Also check out the Least Common Multiple of 82260 and 82274