What is the Greatest Common Factor of 88380 and 88385?

Greatest common factor (GCF) of 88380 and 88385 is 5.

GCF(88380,88385) = 5

We will now calculate the prime factors of 88380 and 88385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88380 and 88385.

How to find the GCF of 88380 and 88385?

We will first find the prime factorization of 88380 and 88385. After we will calculate the factors of 88380 and 88385 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 88385

Prime factors of 88385 are 5, 11, 1607. Prime factorization of 88385 in exponential form is:

88385 = 5¹ × 11¹ × 1607¹

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 88385

List of positive integer factors of 88385 that divides 88380 without a remainder.

1, 5, 11, 55, 1607, 8035, 17677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88380 and 88385. The biggest common factor number is the GCF number.
So the greatest common factor 88380 and 88385 is 5.

Also check out the Least Common Multiple of 88380 and 88385