What is the Greatest Common Factor of 10262 and 10269?

Greatest common factor (GCF) of 10262 and 10269 is 7.

GCF(10262,10269) = 7

We will now calculate the prime factors of 10262 and 10269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10262 and 10269.

How to find the GCF of 10262 and 10269?

We will first find the prime factorization of 10262 and 10269. After we will calculate the factors of 10262 and 10269 and find the biggest common factor number .

Step-1: Prime Factorization of 10262

Prime factors of 10262 are 2, 7, 733. Prime factorization of 10262 in exponential form is:

10262 = 2¹ × 7¹ × 733¹

Step-2: Prime Factorization of 10269

Prime factors of 10269 are 3, 7, 163. Prime factorization of 10269 in exponential form is:

10269 = 3² × 7¹ × 163¹

Step-3: Factors of 10262

List of positive integer factors of 10262 that divides 10262 without a remainder.

1, 2, 7, 14, 733, 1466, 5131

Step-4: Factors of 10269

List of positive integer factors of 10269 that divides 10262 without a remainder.

1, 3, 7, 9, 21, 63, 163, 489, 1141, 1467, 3423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10262 and 10269. The biggest common factor number is the GCF number.
So the greatest common factor 10262 and 10269 is 7.

Also check out the Least Common Multiple of 10262 and 10269