What is the Greatest Common Factor of 61782 and 61789?

Greatest common factor (GCF) of 61782 and 61789 is 7.

GCF(61782,61789) = 7

We will now calculate the prime factors of 61782 and 61789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61782 and 61789.

How to find the GCF of 61782 and 61789?

We will first find the prime factorization of 61782 and 61789. After we will calculate the factors of 61782 and 61789 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 61789

Prime factors of 61789 are 7, 13, 97. Prime factorization of 61789 in exponential form is:

61789 = 7² × 13¹ × 97¹

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 61789

List of positive integer factors of 61789 that divides 61782 without a remainder.

1, 7, 13, 49, 91, 97, 637, 679, 1261, 4753, 8827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61782 and 61789. The biggest common factor number is the GCF number.
So the greatest common factor 61782 and 61789 is 7.

Also check out the Least Common Multiple of 61782 and 61789