What is the Greatest Common Factor of 88348 and 88356?

Greatest common factor (GCF) of 88348 and 88356 is 4.

GCF(88348,88356) = 4

We will now calculate the prime factors of 88348 and 88356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88348 and 88356.

How to find the GCF of 88348 and 88356?

We will first find the prime factorization of 88348 and 88356. After we will calculate the factors of 88348 and 88356 and find the biggest common factor number .

Step-1: Prime Factorization of 88348

Prime factors of 88348 are 2, 13, 1699. Prime factorization of 88348 in exponential form is:

88348 = 2² × 13¹ × 1699¹

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 88348

List of positive integer factors of 88348 that divides 88348 without a remainder.

1, 2, 4, 13, 26, 52, 1699, 3398, 6796, 22087, 44174

Step-4: Factors of 88356

List of positive integer factors of 88356 that divides 88348 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 88348 and 88356. The biggest common factor number is the GCF number.
So the greatest common factor 88348 and 88356 is 4.

Also check out the Least Common Multiple of 88348 and 88356