What is the Greatest Common Factor of 61698 and 61716?

Greatest common factor (GCF) of 61698 and 61716 is 6.

GCF(61698,61716) = 6

We will now calculate the prime factors of 61698 and 61716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61698 and 61716.

How to find the GCF of 61698 and 61716?

We will first find the prime factorization of 61698 and 61716. After we will calculate the factors of 61698 and 61716 and find the biggest common factor number .

Step-1: Prime Factorization of 61698

Prime factors of 61698 are 2, 3, 7, 13, 113. Prime factorization of 61698 in exponential form is:

61698 = 2¹ × 3¹ × 7¹ × 13¹ × 113¹

Step-2: Prime Factorization of 61716

Prime factors of 61716 are 2, 3, 37, 139. Prime factorization of 61716 in exponential form is:

61716 = 2² × 3¹ × 37¹ × 139¹

Step-3: Factors of 61698

List of positive integer factors of 61698 that divides 61698 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 113, 182, 226, 273, 339, 546, 678, 791, 1469, 1582, 2373, 2938, 4407, 4746, 8814, 10283, 20566, 30849

Step-4: Factors of 61716

List of positive integer factors of 61716 that divides 61698 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 139, 148, 222, 278, 417, 444, 556, 834, 1668, 5143, 10286, 15429, 20572, 30858

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61698 and 61716. The biggest common factor number is the GCF number.
So the greatest common factor 61698 and 61716 is 6.

Also check out the Least Common Multiple of 61698 and 61716