What is the Greatest Common Factor of 61677 and 61688?

Greatest common factor (GCF) of 61677 and 61688 is 11.

GCF(61677,61688) = 11

We will now calculate the prime factors of 61677 and 61688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61677 and 61688.

How to find the GCF of 61677 and 61688?

We will first find the prime factorization of 61677 and 61688. After we will calculate the factors of 61677 and 61688 and find the biggest common factor number .

Step-1: Prime Factorization of 61677

Prime factors of 61677 are 3, 7, 11, 89. Prime factorization of 61677 in exponential form is:

61677 = 3² × 7¹ × 11¹ × 89¹

Step-2: 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-3: Factors of 61677

List of positive integer factors of 61677 that divides 61677 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 89, 99, 231, 267, 623, 693, 801, 979, 1869, 2937, 5607, 6853, 8811, 20559

Step-4: Factors of 61688

List of positive integer factors of 61688 that divides 61677 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61677 and 61688. The biggest common factor number is the GCF number.
So the greatest common factor 61677 and 61688 is 11.

Also check out the Least Common Multiple of 61677 and 61688