What is the Greatest Common Factor of 82278 and 82292?

Greatest common factor (GCF) of 82278 and 82292 is 14.

GCF(82278,82292) = 14

We will now calculate the prime factors of 82278 and 82292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82278 and 82292.

How to find the GCF of 82278 and 82292?

We will first find the prime factorization of 82278 and 82292. After we will calculate the factors of 82278 and 82292 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 82292

Prime factors of 82292 are 2, 7, 2939. Prime factorization of 82292 in exponential form is:

82292 = 2² × 7¹ × 2939¹

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 82292

List of positive integer factors of 82292 that divides 82278 without a remainder.

1, 2, 4, 7, 14, 28, 2939, 5878, 11756, 20573, 41146

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82278 and 82292. The biggest common factor number is the GCF number.
So the greatest common factor 82278 and 82292 is 14.

Also check out the Least Common Multiple of 82278 and 82292