What is the Greatest Common Factor of 61688 and 61698?

Greatest common factor (GCF) of 61688 and 61698 is 2.

GCF(61688,61698) = 2

We will now calculate the prime factors of 61688 and 61698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61688 and 61698.

How to find the GCF of 61688 and 61698?

We will first find the prime factorization of 61688 and 61698. After we will calculate the factors of 61688 and 61698 and find the biggest common factor number .

Step-1: Prime Factorization of 61688

Prime factors of 61688 are 2, 11, 701. Prime factorization of 61688 in exponential form is:

61688 = 2³ × 11¹ × 701¹

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 61688

List of positive integer factors of 61688 that divides 61688 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 701, 1402, 2804, 5608, 7711, 15422, 30844

Step-4: Factors of 61698

List of positive integer factors of 61698 that divides 61688 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 61688 and 61698. The biggest common factor number is the GCF number.
So the greatest common factor 61688 and 61698 is 2.

Also check out the Least Common Multiple of 61688 and 61698