What is the Greatest Common Factor of 80249 and 80262?

Greatest common factor (GCF) of 80249 and 80262 is 13.

GCF(80249,80262) = 13

We will now calculate the prime factors of 80249 and 80262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80249 and 80262.

How to find the GCF of 80249 and 80262?

We will first find the prime factorization of 80249 and 80262. After we will calculate the factors of 80249 and 80262 and find the biggest common factor number .

Step-1: Prime Factorization of 80249

Prime factors of 80249 are 13, 6173. Prime factorization of 80249 in exponential form is:

80249 = 13¹ × 6173¹

Step-2: Prime Factorization of 80262

Prime factors of 80262 are 2, 3, 7, 13. Prime factorization of 80262 in exponential form is:

80262 = 2¹ × 3² × 7³ × 13¹

Step-3: Factors of 80249

List of positive integer factors of 80249 that divides 80249 without a remainder.

1, 13, 6173

Step-4: Factors of 80262

List of positive integer factors of 80262 that divides 80249 without a remainder.

1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 49, 63, 78, 91, 98, 117, 126, 147, 182, 234, 273, 294, 343, 441, 546, 637, 686, 819, 882, 1029, 1274, 1638, 1911, 2058, 3087, 3822, 4459, 5733, 6174, 8918, 11466, 13377, 26754, 40131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80249 and 80262. The biggest common factor number is the GCF number.
So the greatest common factor 80249 and 80262 is 13.

Also check out the Least Common Multiple of 80249 and 80262