What is the Greatest Common Factor of 88126 and 88144?

Greatest common factor (GCF) of 88126 and 88144 is 2.

GCF(88126,88144) = 2

We will now calculate the prime factors of 88126 and 88144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88126 and 88144.

How to find the GCF of 88126 and 88144?

We will first find the prime factorization of 88126 and 88144. After we will calculate the factors of 88126 and 88144 and find the biggest common factor number .

Step-1: Prime Factorization of 88126

Prime factors of 88126 are 2, 139, 317. Prime factorization of 88126 in exponential form is:

88126 = 2¹ × 139¹ × 317¹

Step-2: Prime Factorization of 88144

Prime factors of 88144 are 2, 7, 787. Prime factorization of 88144 in exponential form is:

88144 = 2⁴ × 7¹ × 787¹

Step-3: Factors of 88126

List of positive integer factors of 88126 that divides 88126 without a remainder.

1, 2, 139, 278, 317, 634, 44063

Step-4: Factors of 88144

List of positive integer factors of 88144 that divides 88126 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 787, 1574, 3148, 5509, 6296, 11018, 12592, 22036, 44072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88126 and 88144. The biggest common factor number is the GCF number.
So the greatest common factor 88126 and 88144 is 2.

Also check out the Least Common Multiple of 88126 and 88144