What is the Greatest Common Factor of 88144 and 88150?

Greatest common factor (GCF) of 88144 and 88150 is 2.

GCF(88144,88150) = 2

We will now calculate the prime factors of 88144 and 88150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88144 and 88150.

How to find the GCF of 88144 and 88150?

We will first find the prime factorization of 88144 and 88150. After we will calculate the factors of 88144 and 88150 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 88150

Prime factors of 88150 are 2, 5, 41, 43. Prime factorization of 88150 in exponential form is:

88150 = 2¹ × 5² × 41¹ × 43¹

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 88150

List of positive integer factors of 88150 that divides 88144 without a remainder.

1, 2, 5, 10, 25, 41, 43, 50, 82, 86, 205, 215, 410, 430, 1025, 1075, 1763, 2050, 2150, 3526, 8815, 17630, 44075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88144 and 88150. The biggest common factor number is the GCF number.
So the greatest common factor 88144 and 88150 is 2.

Also check out the Least Common Multiple of 88144 and 88150