What is the Greatest Common Factor of 61350 and 61366?

Greatest common factor (GCF) of 61350 and 61366 is 2.

GCF(61350,61366) = 2

We will now calculate the prime factors of 61350 and 61366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61350 and 61366.

How to find the GCF of 61350 and 61366?

We will first find the prime factorization of 61350 and 61366. After we will calculate the factors of 61350 and 61366 and find the biggest common factor number .

Step-1: Prime Factorization of 61350

Prime factors of 61350 are 2, 3, 5, 409. Prime factorization of 61350 in exponential form is:

61350 = 2¹ × 3¹ × 5² × 409¹

Step-2: Prime Factorization of 61366

Prime factors of 61366 are 2, 61, 503. Prime factorization of 61366 in exponential form is:

61366 = 2¹ × 61¹ × 503¹

Step-3: Factors of 61350

List of positive integer factors of 61350 that divides 61350 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 409, 818, 1227, 2045, 2454, 4090, 6135, 10225, 12270, 20450, 30675

Step-4: Factors of 61366

List of positive integer factors of 61366 that divides 61350 without a remainder.

1, 2, 61, 122, 503, 1006, 30683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61350 and 61366. The biggest common factor number is the GCF number.
So the greatest common factor 61350 and 61366 is 2.

Also check out the Least Common Multiple of 61350 and 61366