What is the Greatest Common Factor of 82264 and 82278?

Greatest common factor (GCF) of 82264 and 82278 is 14.

GCF(82264,82278) = 14

We will now calculate the prime factors of 82264 and 82278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82264 and 82278.

How to find the GCF of 82264 and 82278?

We will first find the prime factorization of 82264 and 82278. After we will calculate the factors of 82264 and 82278 and find the biggest common factor number .

Step-1: Prime Factorization of 82264

Prime factors of 82264 are 2, 7, 13, 113. Prime factorization of 82264 in exponential form is:

82264 = 2³ × 7¹ × 13¹ × 113¹

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 82264

List of positive integer factors of 82264 that divides 82264 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 113, 182, 226, 364, 452, 728, 791, 904, 1469, 1582, 2938, 3164, 5876, 6328, 10283, 11752, 20566, 41132

Step-4: Factors of 82278

List of positive integer factors of 82278 that divides 82264 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 82264 and 82278. The biggest common factor number is the GCF number.
So the greatest common factor 82264 and 82278 is 14.

Also check out the Least Common Multiple of 82264 and 82278