What is the Greatest Common Factor of 61666 and 61677?

Greatest common factor (GCF) of 61666 and 61677 is 11.

GCF(61666,61677) = 11

We will now calculate the prime factors of 61666 and 61677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61666 and 61677.

How to find the GCF of 61666 and 61677?

We will first find the prime factorization of 61666 and 61677. After we will calculate the factors of 61666 and 61677 and find the biggest common factor number .

Step-1: Prime Factorization of 61666

Prime factors of 61666 are 2, 11, 2803. Prime factorization of 61666 in exponential form is:

61666 = 2¹ × 11¹ × 2803¹

Step-2: 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-3: Factors of 61666

List of positive integer factors of 61666 that divides 61666 without a remainder.

1, 2, 11, 22, 2803, 5606, 30833

Step-4: Factors of 61677

List of positive integer factors of 61677 that divides 61666 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61666 and 61677. The biggest common factor number is the GCF number.
So the greatest common factor 61666 and 61677 is 11.

Also check out the Least Common Multiple of 61666 and 61677