What is the Greatest Common Factor of 88262 and 88268?

Greatest common factor (GCF) of 88262 and 88268 is 2.

GCF(88262,88268) = 2

We will now calculate the prime factors of 88262 and 88268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88262 and 88268.

How to find the GCF of 88262 and 88268?

We will first find the prime factorization of 88262 and 88268. After we will calculate the factors of 88262 and 88268 and find the biggest common factor number .

Step-1: Prime Factorization of 88262

Prime factors of 88262 are 2, 44131. Prime factorization of 88262 in exponential form is:

88262 = 2¹ × 44131¹

Step-2: Prime Factorization of 88268

Prime factors of 88268 are 2, 22067. Prime factorization of 88268 in exponential form is:

88268 = 2² × 22067¹

Step-3: Factors of 88262

List of positive integer factors of 88262 that divides 88262 without a remainder.

1, 2, 44131

Step-4: Factors of 88268

List of positive integer factors of 88268 that divides 88262 without a remainder.

1, 2, 4, 22067, 44134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88262 and 88268. The biggest common factor number is the GCF number.
So the greatest common factor 88262 and 88268 is 2.

Also check out the Least Common Multiple of 88262 and 88268