What is the Greatest Common Factor of 1265 and 1276?

Greatest common factor (GCF) of 1265 and 1276 is 11.

GCF(1265,1276) = 11

We will now calculate the prime factors of 1265 and 1276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1265 and 1276.

How to find the GCF of 1265 and 1276?

We will first find the prime factorization of 1265 and 1276. After we will calculate the factors of 1265 and 1276 and find the biggest common factor number .

Step-1: Prime Factorization of 1265

Prime factors of 1265 are 5, 11, 23. Prime factorization of 1265 in exponential form is:

1265 = 5¹ × 11¹ × 23¹

Step-2: Prime Factorization of 1276

Prime factors of 1276 are 2, 11, 29. Prime factorization of 1276 in exponential form is:

1276 = 2² × 11¹ × 29¹

Step-3: Factors of 1265

List of positive integer factors of 1265 that divides 1265 without a remainder.

1, 5, 11, 23, 55, 115, 253

Step-4: Factors of 1276

List of positive integer factors of 1276 that divides 1265 without a remainder.

1, 2, 4, 11, 22, 29, 44, 58, 116, 319, 638

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1265 and 1276. The biggest common factor number is the GCF number.
So the greatest common factor 1265 and 1276 is 11.

Also check out the Least Common Multiple of 1265 and 1276