What is the Greatest Common Factor of 88138 and 88144?

Greatest common factor (GCF) of 88138 and 88144 is 2.

GCF(88138,88144) = 2

We will now calculate the prime factors of 88138 and 88144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88138 and 88144.

How to find the GCF of 88138 and 88144?

We will first find the prime factorization of 88138 and 88144. After we will calculate the factors of 88138 and 88144 and find the biggest common factor number .

Step-1: Prime Factorization of 88138

Prime factors of 88138 are 2, 127, 347. Prime factorization of 88138 in exponential form is:

88138 = 2¹ × 127¹ × 347¹

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 88138

List of positive integer factors of 88138 that divides 88138 without a remainder.

1, 2, 127, 254, 347, 694, 44069

Step-4: Factors of 88144

List of positive integer factors of 88144 that divides 88138 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 88138 and 88144. The biggest common factor number is the GCF number.
So the greatest common factor 88138 and 88144 is 2.

Also check out the Least Common Multiple of 88138 and 88144