What is the Greatest Common Factor of 32396 and 32403?

Greatest common factor (GCF) of 32396 and 32403 is 7.

GCF(32396,32403) = 7

We will now calculate the prime factors of 32396 and 32403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32396 and 32403.

How to find the GCF of 32396 and 32403?

We will first find the prime factorization of 32396 and 32403. After we will calculate the factors of 32396 and 32403 and find the biggest common factor number .

Step-1: Prime Factorization of 32396

Prime factors of 32396 are 2, 7, 13, 89. Prime factorization of 32396 in exponential form is:

32396 = 2² × 7¹ × 13¹ × 89¹

Step-2: Prime Factorization of 32403

Prime factors of 32403 are 3, 7, 1543. Prime factorization of 32403 in exponential form is:

32403 = 3¹ × 7¹ × 1543¹

Step-3: Factors of 32396

List of positive integer factors of 32396 that divides 32396 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 89, 91, 178, 182, 356, 364, 623, 1157, 1246, 2314, 2492, 4628, 8099, 16198

Step-4: Factors of 32403

List of positive integer factors of 32403 that divides 32396 without a remainder.

1, 3, 7, 21, 1543, 4629, 10801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32396 and 32403. The biggest common factor number is the GCF number.
So the greatest common factor 32396 and 32403 is 7.

Also check out the Least Common Multiple of 32396 and 32403