What is the Greatest Common Factor of 88380 and 88398?

Greatest common factor (GCF) of 88380 and 88398 is 18.

GCF(88380,88398) = 18

We will now calculate the prime factors of 88380 and 88398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88380 and 88398.

How to find the GCF of 88380 and 88398?

We will first find the prime factorization of 88380 and 88398. After we will calculate the factors of 88380 and 88398 and find the biggest common factor number .

Step-1: Prime Factorization of 88380

Prime factors of 88380 are 2, 3, 5, 491. Prime factorization of 88380 in exponential form is:

88380 = 2² × 3² × 5¹ × 491¹

Step-2: Prime Factorization of 88398

Prime factors of 88398 are 2, 3, 1637. Prime factorization of 88398 in exponential form is:

88398 = 2¹ × 3³ × 1637¹

Step-3: Factors of 88380

List of positive integer factors of 88380 that divides 88380 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 491, 982, 1473, 1964, 2455, 2946, 4419, 4910, 5892, 7365, 8838, 9820, 14730, 17676, 22095, 29460, 44190

Step-4: Factors of 88398

List of positive integer factors of 88398 that divides 88380 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1637, 3274, 4911, 9822, 14733, 29466, 44199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88380 and 88398. The biggest common factor number is the GCF number.
So the greatest common factor 88380 and 88398 is 18.

Also check out the Least Common Multiple of 88380 and 88398