What is the Greatest Common Factor of 10262 and 10272?

Greatest common factor (GCF) of 10262 and 10272 is 2.

GCF(10262,10272) = 2

We will now calculate the prime factors of 10262 and 10272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10262 and 10272.

How to find the GCF of 10262 and 10272?

We will first find the prime factorization of 10262 and 10272. After we will calculate the factors of 10262 and 10272 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 10272

Prime factors of 10272 are 2, 3, 107. Prime factorization of 10272 in exponential form is:

10272 = 2⁵ × 3¹ × 107¹

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 10272

List of positive integer factors of 10272 that divides 10262 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 107, 214, 321, 428, 642, 856, 1284, 1712, 2568, 3424, 5136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10262 and 10272. The biggest common factor number is the GCF number.
So the greatest common factor 10262 and 10272 is 2.

Also check out the Least Common Multiple of 10262 and 10272