What is the Greatest Common Factor of 88340 and 88356?

Greatest common factor (GCF) of 88340 and 88356 is 4.

GCF(88340,88356) = 4

We will now calculate the prime factors of 88340 and 88356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88340 and 88356.

How to find the GCF of 88340 and 88356?

We will first find the prime factorization of 88340 and 88356. After we will calculate the factors of 88340 and 88356 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 88356

Prime factors of 88356 are 2, 3, 37, 199. Prime factorization of 88356 in exponential form is:

88356 = 2² × 3¹ × 37¹ × 199¹

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 88356

List of positive integer factors of 88356 that divides 88340 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 199, 222, 398, 444, 597, 796, 1194, 2388, 7363, 14726, 22089, 29452, 44178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88340 and 88356. The biggest common factor number is the GCF number.
So the greatest common factor 88340 and 88356 is 4.

Also check out the Least Common Multiple of 88340 and 88356