What is the Greatest Common Factor of 61966 and 61982?

Greatest common factor (GCF) of 61966 and 61982 is 2.

GCF(61966,61982) = 2

We will now calculate the prime factors of 61966 and 61982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61966 and 61982.

How to find the GCF of 61966 and 61982?

We will first find the prime factorization of 61966 and 61982. After we will calculate the factors of 61966 and 61982 and find the biggest common factor number .

Step-1: Prime Factorization of 61966

Prime factors of 61966 are 2, 30983. Prime factorization of 61966 in exponential form is:

61966 = 2¹ × 30983¹

Step-2: Prime Factorization of 61982

Prime factors of 61982 are 2, 17, 1823. Prime factorization of 61982 in exponential form is:

61982 = 2¹ × 17¹ × 1823¹

Step-3: Factors of 61966

List of positive integer factors of 61966 that divides 61966 without a remainder.

1, 2, 30983

Step-4: Factors of 61982

List of positive integer factors of 61982 that divides 61966 without a remainder.

1, 2, 17, 34, 1823, 3646, 30991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61966 and 61982. The biggest common factor number is the GCF number.
So the greatest common factor 61966 and 61982 is 2.

Also check out the Least Common Multiple of 61966 and 61982