What is the Greatest Common Factor of 61768 and 61782?

Greatest common factor (GCF) of 61768 and 61782 is 14.

GCF(61768,61782) = 14

We will now calculate the prime factors of 61768 and 61782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61768 and 61782.

How to find the GCF of 61768 and 61782?

We will first find the prime factorization of 61768 and 61782. After we will calculate the factors of 61768 and 61782 and find the biggest common factor number .

Step-1: Prime Factorization of 61768

Prime factors of 61768 are 2, 7, 1103. Prime factorization of 61768 in exponential form is:

61768 = 2³ × 7¹ × 1103¹

Step-2: 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-3: Factors of 61768

List of positive integer factors of 61768 that divides 61768 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1103, 2206, 4412, 7721, 8824, 15442, 30884

Step-4: Factors of 61782

List of positive integer factors of 61782 that divides 61768 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61768 and 61782. The biggest common factor number is the GCF number.
So the greatest common factor 61768 and 61782 is 14.

Also check out the Least Common Multiple of 61768 and 61782