What is the Greatest Common Factor of 88440 and 88450?

Greatest common factor (GCF) of 88440 and 88450 is 10.

GCF(88440,88450) = 10

We will now calculate the prime factors of 88440 and 88450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88440 and 88450.

How to find the GCF of 88440 and 88450?

We will first find the prime factorization of 88440 and 88450. After we will calculate the factors of 88440 and 88450 and find the biggest common factor number .

Step-1: Prime Factorization of 88440

Prime factors of 88440 are 2, 3, 5, 11, 67. Prime factorization of 88440 in exponential form is:

88440 = 2³ × 3¹ × 5¹ × 11¹ × 67¹

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 88440

List of positive integer factors of 88440 that divides 88440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 67, 88, 110, 120, 132, 134, 165, 201, 220, 264, 268, 330, 335, 402, 440, 536, 660, 670, 737, 804, 1005, 1320, 1340, 1474, 1608, 2010, 2211, 2680, 2948, 3685, 4020, 4422, 5896, 7370, 8040, 8844, 11055, 14740, 17688, 22110, 29480, 44220

Step-4: Factors of 88450

List of positive integer factors of 88450 that divides 88440 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 88440 and 88450. The biggest common factor number is the GCF number.
So the greatest common factor 88440 and 88450 is 10.

Also check out the Least Common Multiple of 88440 and 88450