What is the Greatest Common Factor of 61666 and 61672?

Greatest common factor (GCF) of 61666 and 61672 is 2.

GCF(61666,61672) = 2

We will now calculate the prime factors of 61666 and 61672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61666 and 61672.

How to find the GCF of 61666 and 61672?

We will first find the prime factorization of 61666 and 61672. After we will calculate the factors of 61666 and 61672 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 61672

Prime factors of 61672 are 2, 13, 593. Prime factorization of 61672 in exponential form is:

61672 = 2³ × 13¹ × 593¹

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 61672

List of positive integer factors of 61672 that divides 61666 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 593, 1186, 2372, 4744, 7709, 15418, 30836

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61666 and 61672. The biggest common factor number is the GCF number.
So the greatest common factor 61666 and 61672 is 2.

Also check out the Least Common Multiple of 61666 and 61672