What is the Greatest Common Factor of 32620 and 32627?

Greatest common factor (GCF) of 32620 and 32627 is 7.

GCF(32620,32627) = 7

We will now calculate the prime factors of 32620 and 32627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32620 and 32627.

How to find the GCF of 32620 and 32627?

We will first find the prime factorization of 32620 and 32627. After we will calculate the factors of 32620 and 32627 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32627

Prime factors of 32627 are 7, 59, 79. Prime factorization of 32627 in exponential form is:

32627 = 7¹ × 59¹ × 79¹

Step-3: Factors of 32620

List of positive integer factors of 32620 that divides 32620 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

Step-4: Factors of 32627

List of positive integer factors of 32627 that divides 32620 without a remainder.

1, 7, 59, 79, 413, 553, 4661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32620 and 32627. The biggest common factor number is the GCF number.
So the greatest common factor 32620 and 32627 is 7.

Also check out the Least Common Multiple of 32620 and 32627