What is the Greatest Common Factor of 61677 and 61684?

Greatest common factor (GCF) of 61677 and 61684 is 7.

GCF(61677,61684) = 7

We will now calculate the prime factors of 61677 and 61684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61677 and 61684.

How to find the GCF of 61677 and 61684?

We will first find the prime factorization of 61677 and 61684. After we will calculate the factors of 61677 and 61684 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 61684

Prime factors of 61684 are 2, 7, 2203. Prime factorization of 61684 in exponential form is:

61684 = 2² × 7¹ × 2203¹

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 61684

List of positive integer factors of 61684 that divides 61677 without a remainder.

1, 2, 4, 7, 14, 28, 2203, 4406, 8812, 15421, 30842

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61677 and 61684. The biggest common factor number is the GCF number.
So the greatest common factor 61677 and 61684 is 7.

Also check out the Least Common Multiple of 61677 and 61684