What is the Greatest Common Factor of 32610 and 32629?

Greatest common factor (GCF) of 32610 and 32629 is 1.

GCF(32610,32629) = 1

We will now calculate the prime factors of 32610 and 32629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32610 and 32629.

How to find the GCF of 32610 and 32629?

We will first find the prime factorization of 32610 and 32629. After we will calculate the factors of 32610 and 32629 and find the biggest common factor number .

Step-1: Prime Factorization of 32610

Prime factors of 32610 are 2, 3, 5, 1087. Prime factorization of 32610 in exponential form is:

32610 = 2¹ × 3¹ × 5¹ × 1087¹

Step-2: Prime Factorization of 32629

Prime factors of 32629 are 67, 487. Prime factorization of 32629 in exponential form is:

32629 = 67¹ × 487¹

Step-3: Factors of 32610

List of positive integer factors of 32610 that divides 32610 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1087, 2174, 3261, 5435, 6522, 10870, 16305

Step-4: Factors of 32629

List of positive integer factors of 32629 that divides 32610 without a remainder.

1, 67, 487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32610 and 32629. The biggest common factor number is the GCF number.
So the greatest common factor 32610 and 32629 is 1.

Also check out the Least Common Multiple of 32610 and 32629