What is the Greatest Common Factor of 61782 and 61796?

Greatest common factor (GCF) of 61782 and 61796 is 14.

GCF(61782,61796) = 14

We will now calculate the prime factors of 61782 and 61796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61782 and 61796.

How to find the GCF of 61782 and 61796?

We will first find the prime factorization of 61782 and 61796. After we will calculate the factors of 61782 and 61796 and find the biggest common factor number .

Step-1: Prime Factorization of 61782

Prime factors of 61782 are 2, 3, 7, 1471. Prime factorization of 61782 in exponential form is:

61782 = 2¹ × 3¹ × 7¹ × 1471¹

Step-2: Prime Factorization of 61796

Prime factors of 61796 are 2, 7, 2207. Prime factorization of 61796 in exponential form is:

61796 = 2² × 7¹ × 2207¹

Step-3: Factors of 61782

List of positive integer factors of 61782 that divides 61782 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1471, 2942, 4413, 8826, 10297, 20594, 30891

Step-4: Factors of 61796

List of positive integer factors of 61796 that divides 61782 without a remainder.

1, 2, 4, 7, 14, 28, 2207, 4414, 8828, 15449, 30898

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61782 and 61796. The biggest common factor number is the GCF number.
So the greatest common factor 61782 and 61796 is 14.

Also check out the Least Common Multiple of 61782 and 61796