What is the Greatest Common Factor of 61663 and 61668?

Greatest common factor (GCF) of 61663 and 61668 is 1.

GCF(61663,61668) = 1

We will now calculate the prime factors of 61663 and 61668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61663 and 61668.

How to find the GCF of 61663 and 61668?

We will first find the prime factorization of 61663 and 61668. After we will calculate the factors of 61663 and 61668 and find the biggest common factor number .

Step-1: Prime Factorization of 61663

Prime factors of 61663 are 7, 23, 383. Prime factorization of 61663 in exponential form is:

61663 = 7¹ × 23¹ × 383¹

Step-2: Prime Factorization of 61668

Prime factors of 61668 are 2, 3, 571. Prime factorization of 61668 in exponential form is:

61668 = 2² × 3³ × 571¹

Step-3: Factors of 61663

List of positive integer factors of 61663 that divides 61663 without a remainder.

1, 7, 23, 161, 383, 2681, 8809

Step-4: Factors of 61668

List of positive integer factors of 61668 that divides 61663 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 571, 1142, 1713, 2284, 3426, 5139, 6852, 10278, 15417, 20556, 30834

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61663 and 61668. The biggest common factor number is the GCF number.
So the greatest common factor 61663 and 61668 is 1.

Also check out the Least Common Multiple of 61663 and 61668