What is the Greatest Common Factor of 88340 and 88360?

Greatest common factor (GCF) of 88340 and 88360 is 20.

GCF(88340,88360) = 20

We will now calculate the prime factors of 88340 and 88360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88340 and 88360.

How to find the GCF of 88340 and 88360?

We will first find the prime factorization of 88340 and 88360. After we will calculate the factors of 88340 and 88360 and find the biggest common factor number .

Step-1: Prime Factorization of 88340

Prime factors of 88340 are 2, 5, 7, 631. Prime factorization of 88340 in exponential form is:

88340 = 2² × 5¹ × 7¹ × 631¹

Step-2: Prime Factorization of 88360

Prime factors of 88360 are 2, 5, 47. Prime factorization of 88360 in exponential form is:

88360 = 2³ × 5¹ × 47²

Step-3: Factors of 88340

List of positive integer factors of 88340 that divides 88340 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 631, 1262, 2524, 3155, 4417, 6310, 8834, 12620, 17668, 22085, 44170

Step-4: Factors of 88360

List of positive integer factors of 88360 that divides 88340 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 47, 94, 188, 235, 376, 470, 940, 1880, 2209, 4418, 8836, 11045, 17672, 22090, 44180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88340 and 88360. The biggest common factor number is the GCF number.
So the greatest common factor 88340 and 88360 is 20.

Also check out the Least Common Multiple of 88340 and 88360