What is the Greatest Common Factor of 61314 and 61332?

Greatest common factor (GCF) of 61314 and 61332 is 6.

GCF(61314,61332) = 6

We will now calculate the prime factors of 61314 and 61332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61314 and 61332.

How to find the GCF of 61314 and 61332?

We will first find the prime factorization of 61314 and 61332. After we will calculate the factors of 61314 and 61332 and find the biggest common factor number .

Step-1: Prime Factorization of 61314

Prime factors of 61314 are 2, 3, 11, 929. Prime factorization of 61314 in exponential form is:

61314 = 2¹ × 3¹ × 11¹ × 929¹

Step-2: Prime Factorization of 61332

Prime factors of 61332 are 2, 3, 19, 269. Prime factorization of 61332 in exponential form is:

61332 = 2² × 3¹ × 19¹ × 269¹

Step-3: Factors of 61314

List of positive integer factors of 61314 that divides 61314 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 929, 1858, 2787, 5574, 10219, 20438, 30657

Step-4: Factors of 61332

List of positive integer factors of 61332 that divides 61314 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 269, 538, 807, 1076, 1614, 3228, 5111, 10222, 15333, 20444, 30666

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61314 and 61332. The biggest common factor number is the GCF number.
So the greatest common factor 61314 and 61332 is 6.

Also check out the Least Common Multiple of 61314 and 61332