What is the Greatest Common Factor of 88138 and 88154?

Greatest common factor (GCF) of 88138 and 88154 is 2.

GCF(88138,88154) = 2

We will now calculate the prime factors of 88138 and 88154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88138 and 88154.

How to find the GCF of 88138 and 88154?

We will first find the prime factorization of 88138 and 88154. After we will calculate the factors of 88138 and 88154 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 88154

Prime factors of 88154 are 2, 11, 4007. Prime factorization of 88154 in exponential form is:

88154 = 2¹ × 11¹ × 4007¹

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 88154

List of positive integer factors of 88154 that divides 88138 without a remainder.

1, 2, 11, 22, 4007, 8014, 44077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88138 and 88154. The biggest common factor number is the GCF number.
So the greatest common factor 88138 and 88154 is 2.

Also check out the Least Common Multiple of 88138 and 88154