What is the Greatest Common Factor of 82278 and 82288?

Greatest common factor (GCF) of 82278 and 82288 is 2.

GCF(82278,82288) = 2

We will now calculate the prime factors of 82278 and 82288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82278 and 82288.

How to find the GCF of 82278 and 82288?

We will first find the prime factorization of 82278 and 82288. After we will calculate the factors of 82278 and 82288 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82288

Prime factors of 82288 are 2, 37, 139. Prime factorization of 82288 in exponential form is:

82288 = 2⁴ × 37¹ × 139¹

Step-3: Factors of 82278

List of positive integer factors of 82278 that divides 82278 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

Step-4: Factors of 82288

List of positive integer factors of 82288 that divides 82278 without a remainder.

1, 2, 4, 8, 16, 37, 74, 139, 148, 278, 296, 556, 592, 1112, 2224, 5143, 10286, 20572, 41144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82278 and 82288. The biggest common factor number is the GCF number.
So the greatest common factor 82278 and 82288 is 2.

Also check out the Least Common Multiple of 82278 and 82288