What is the Greatest Common Factor of 88380 and 88390?

Greatest common factor (GCF) of 88380 and 88390 is 10.

GCF(88380,88390) = 10

We will now calculate the prime factors of 88380 and 88390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88380 and 88390.

How to find the GCF of 88380 and 88390?

We will first find the prime factorization of 88380 and 88390. After we will calculate the factors of 88380 and 88390 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 88390

Prime factors of 88390 are 2, 5, 8839. Prime factorization of 88390 in exponential form is:

88390 = 2¹ × 5¹ × 8839¹

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 88390

List of positive integer factors of 88390 that divides 88380 without a remainder.

1, 2, 5, 10, 8839, 17678, 44195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88380 and 88390. The biggest common factor number is the GCF number.
So the greatest common factor 88380 and 88390 is 10.

Also check out the Least Common Multiple of 88380 and 88390