What is the Greatest Common Factor of 61688 and 61699?

Greatest common factor (GCF) of 61688 and 61699 is 11.

GCF(61688,61699) = 11

We will now calculate the prime factors of 61688 and 61699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61688 and 61699.

How to find the GCF of 61688 and 61699?

We will first find the prime factorization of 61688 and 61699. After we will calculate the factors of 61688 and 61699 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 61699

Prime factors of 61699 are 11, 71, 79. Prime factorization of 61699 in exponential form is:

61699 = 11¹ × 71¹ × 79¹

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 61699

List of positive integer factors of 61699 that divides 61688 without a remainder.

1, 11, 71, 79, 781, 869, 5609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61688 and 61699. The biggest common factor number is the GCF number.
So the greatest common factor 61688 and 61699 is 11.

Also check out the Least Common Multiple of 61688 and 61699