What is the Greatest Common Factor of 254 and 262?

Greatest common factor (GCF) of 254 and 262 is 2.

GCF(254,262) = 2

We will now calculate the prime factors of 254 and 262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 254 and 262.

How to find the GCF of 254 and 262?

We will first find the prime factorization of 254 and 262. After we will calculate the factors of 254 and 262 and find the biggest common factor number .

Step-1: Prime Factorization of 254

Prime factors of 254 are 2, 127. Prime factorization of 254 in exponential form is:

254 = 2¹ × 127¹

Step-2: Prime Factorization of 262

Prime factors of 262 are 2, 131. Prime factorization of 262 in exponential form is:

262 = 2¹ × 131¹

Step-3: Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1, 2, 127

Step-4: Factors of 262

List of positive integer factors of 262 that divides 254 without a remainder.

1, 2, 131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 254 and 262. The biggest common factor number is the GCF number.
So the greatest common factor 254 and 262 is 2.

Also check out the Least Common Multiple of 254 and 262