What is the Greatest Common Factor of 82260 and 82278?

Greatest common factor (GCF) of 82260 and 82278 is 18.

GCF(82260,82278) = 18

We will now calculate the prime factors of 82260 and 82278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82260 and 82278.

How to find the GCF of 82260 and 82278?

We will first find the prime factorization of 82260 and 82278. After we will calculate the factors of 82260 and 82278 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 82278

Prime factors of 82278 are 2, 3, 7, 653. Prime factorization of 82278 in exponential form is:

82278 = 2¹ × 3² × 7¹ × 653¹

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 82278

List of positive integer factors of 82278 that divides 82260 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 653, 1306, 1959, 3918, 4571, 5877, 9142, 11754, 13713, 27426, 41139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82260 and 82278. The biggest common factor number is the GCF number.
So the greatest common factor 82260 and 82278 is 18.

Also check out the Least Common Multiple of 82260 and 82278