What is the Greatest Common Factor of 61314 and 61325?

Greatest common factor (GCF) of 61314 and 61325 is 11.

GCF(61314,61325) = 11

We will now calculate the prime factors of 61314 and 61325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61314 and 61325.

How to find the GCF of 61314 and 61325?

We will first find the prime factorization of 61314 and 61325. After we will calculate the factors of 61314 and 61325 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 61325

Prime factors of 61325 are 5, 11, 223. Prime factorization of 61325 in exponential form is:

61325 = 5² × 11¹ × 223¹

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 61325

List of positive integer factors of 61325 that divides 61314 without a remainder.

1, 5, 11, 25, 55, 223, 275, 1115, 2453, 5575, 12265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61314 and 61325. The biggest common factor number is the GCF number.
So the greatest common factor 61314 and 61325 is 11.

Also check out the Least Common Multiple of 61314 and 61325