What is the Greatest Common Factor of 88538 and 88550?

Greatest common factor (GCF) of 88538 and 88550 is 2.

GCF(88538,88550) = 2

We will now calculate the prime factors of 88538 and 88550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88538 and 88550.

How to find the GCF of 88538 and 88550?

We will first find the prime factorization of 88538 and 88550. After we will calculate the factors of 88538 and 88550 and find the biggest common factor number .

Step-1: Prime Factorization of 88538

Prime factors of 88538 are 2, 44269. Prime factorization of 88538 in exponential form is:

88538 = 2¹ × 44269¹

Step-2: Prime Factorization of 88550

Prime factors of 88550 are 2, 5, 7, 11, 23. Prime factorization of 88550 in exponential form is:

88550 = 2¹ × 5² × 7¹ × 11¹ × 23¹

Step-3: Factors of 88538

List of positive integer factors of 88538 that divides 88538 without a remainder.

1, 2, 44269

Step-4: Factors of 88550

List of positive integer factors of 88550 that divides 88538 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 23, 25, 35, 46, 50, 55, 70, 77, 110, 115, 154, 161, 175, 230, 253, 275, 322, 350, 385, 506, 550, 575, 770, 805, 1150, 1265, 1610, 1771, 1925, 2530, 3542, 3850, 4025, 6325, 8050, 8855, 12650, 17710, 44275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88538 and 88550. The biggest common factor number is the GCF number.
So the greatest common factor 88538 and 88550 is 2.

Also check out the Least Common Multiple of 88538 and 88550