What is the Greatest Common Factor of 32620 and 32635?

Greatest common factor (GCF) of 32620 and 32635 is 5.

GCF(32620,32635) = 5

We will now calculate the prime factors of 32620 and 32635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32620 and 32635.

How to find the GCF of 32620 and 32635?

We will first find the prime factorization of 32620 and 32635. After we will calculate the factors of 32620 and 32635 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 32635

Prime factors of 32635 are 5, 61, 107. Prime factorization of 32635 in exponential form is:

32635 = 5¹ × 61¹ × 107¹

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 32635

List of positive integer factors of 32635 that divides 32620 without a remainder.

1, 5, 61, 107, 305, 535, 6527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32620 and 32635. The biggest common factor number is the GCF number.
So the greatest common factor 32620 and 32635 is 5.

Also check out the Least Common Multiple of 32620 and 32635