What is the Greatest Common Factor of 88436 and 88450?

Greatest common factor (GCF) of 88436 and 88450 is 2.

GCF(88436,88450) = 2

We will now calculate the prime factors of 88436 and 88450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88436 and 88450.

How to find the GCF of 88436 and 88450?

We will first find the prime factorization of 88436 and 88450. After we will calculate the factors of 88436 and 88450 and find the biggest common factor number .

Step-1: Prime Factorization of 88436

Prime factors of 88436 are 2, 22109. Prime factorization of 88436 in exponential form is:

88436 = 2² × 22109¹

Step-2: Prime Factorization of 88450

Prime factors of 88450 are 2, 5, 29, 61. Prime factorization of 88450 in exponential form is:

88450 = 2¹ × 5² × 29¹ × 61¹

Step-3: Factors of 88436

List of positive integer factors of 88436 that divides 88436 without a remainder.

1, 2, 4, 22109, 44218

Step-4: Factors of 88450

List of positive integer factors of 88450 that divides 88436 without a remainder.

1, 2, 5, 10, 25, 29, 50, 58, 61, 122, 145, 290, 305, 610, 725, 1450, 1525, 1769, 3050, 3538, 8845, 17690, 44225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88436 and 88450. The biggest common factor number is the GCF number.
So the greatest common factor 88436 and 88450 is 2.

Also check out the Least Common Multiple of 88436 and 88450