What is the Greatest Common Factor of 32614 and 32620?

Greatest common factor (GCF) of 32614 and 32620 is 2.

GCF(32614,32620) = 2

We will now calculate the prime factors of 32614 and 32620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32614 and 32620.

How to find the GCF of 32614 and 32620?

We will first find the prime factorization of 32614 and 32620. After we will calculate the factors of 32614 and 32620 and find the biggest common factor number .

Step-1: Prime Factorization of 32614

Prime factors of 32614 are 2, 23, 709. Prime factorization of 32614 in exponential form is:

32614 = 2¹ × 23¹ × 709¹

Step-2: Prime Factorization of 32620

Prime factors of 32620 are 2, 5, 7, 233. Prime factorization of 32620 in exponential form is:

32620 = 2² × 5¹ × 7¹ × 233¹

Step-3: Factors of 32614

List of positive integer factors of 32614 that divides 32614 without a remainder.

1, 2, 23, 46, 709, 1418, 16307

Step-4: Factors of 32620

List of positive integer factors of 32620 that divides 32614 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 233, 466, 932, 1165, 1631, 2330, 3262, 4660, 6524, 8155, 16310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32614 and 32620. The biggest common factor number is the GCF number.
So the greatest common factor 32614 and 32620 is 2.

Also check out the Least Common Multiple of 32614 and 32620