What is the Greatest Common Factor of 61685 and 61698?

Greatest common factor (GCF) of 61685 and 61698 is 13.

GCF(61685,61698) = 13

We will now calculate the prime factors of 61685 and 61698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61685 and 61698.

How to find the GCF of 61685 and 61698?

We will first find the prime factorization of 61685 and 61698. After we will calculate the factors of 61685 and 61698 and find the biggest common factor number .

Step-1: Prime Factorization of 61685

Prime factors of 61685 are 5, 13, 73. Prime factorization of 61685 in exponential form is:

61685 = 5¹ × 13² × 73¹

Step-2: 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-3: Factors of 61685

List of positive integer factors of 61685 that divides 61685 without a remainder.

1, 5, 13, 65, 73, 169, 365, 845, 949, 4745, 12337

Step-4: Factors of 61698

List of positive integer factors of 61698 that divides 61685 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61685 and 61698. The biggest common factor number is the GCF number.
So the greatest common factor 61685 and 61698 is 13.

Also check out the Least Common Multiple of 61685 and 61698