What is the Greatest Common Factor of 80262 and 80274?

Greatest common factor (GCF) of 80262 and 80274 is 6.

GCF(80262,80274) = 6

We will now calculate the prime factors of 80262 and 80274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80262 and 80274.

How to find the GCF of 80262 and 80274?

We will first find the prime factorization of 80262 and 80274. After we will calculate the factors of 80262 and 80274 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80274

Prime factors of 80274 are 2, 3, 17, 787. Prime factorization of 80274 in exponential form is:

80274 = 2¹ × 3¹ × 17¹ × 787¹

Step-3: Factors of 80262

List of positive integer factors of 80262 that divides 80262 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

Step-4: Factors of 80274

List of positive integer factors of 80274 that divides 80262 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 787, 1574, 2361, 4722, 13379, 26758, 40137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80262 and 80274. The biggest common factor number is the GCF number.
So the greatest common factor 80262 and 80274 is 6.

Also check out the Least Common Multiple of 80262 and 80274