What is the Greatest Common Factor of 88144 and 88158?

Greatest common factor (GCF) of 88144 and 88158 is 14.

GCF(88144,88158) = 14

We will now calculate the prime factors of 88144 and 88158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88144 and 88158.

How to find the GCF of 88144 and 88158?

We will first find the prime factorization of 88144 and 88158. After we will calculate the factors of 88144 and 88158 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88158

Prime factors of 88158 are 2, 3, 7, 2099. Prime factorization of 88158 in exponential form is:

88158 = 2¹ × 3¹ × 7¹ × 2099¹

Step-3: Factors of 88144

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

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

Step-4: Factors of 88158

List of positive integer factors of 88158 that divides 88144 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2099, 4198, 6297, 12594, 14693, 29386, 44079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88144 and 88158. The biggest common factor number is the GCF number.
So the greatest common factor 88144 and 88158 is 14.

Also check out the Least Common Multiple of 88144 and 88158