What is the Greatest Common Factor of 32396 and 32414?

Greatest common factor (GCF) of 32396 and 32414 is 2.

GCF(32396,32414) = 2

We will now calculate the prime factors of 32396 and 32414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32396 and 32414.

How to find the GCF of 32396 and 32414?

We will first find the prime factorization of 32396 and 32414. After we will calculate the factors of 32396 and 32414 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 32414

Prime factors of 32414 are 2, 19, 853. Prime factorization of 32414 in exponential form is:

32414 = 2¹ × 19¹ × 853¹

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 32414

List of positive integer factors of 32414 that divides 32396 without a remainder.

1, 2, 19, 38, 853, 1706, 16207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32396 and 32414. The biggest common factor number is the GCF number.
So the greatest common factor 32396 and 32414 is 2.

Also check out the Least Common Multiple of 32396 and 32414