What is the Greatest Common Factor of 61982 and 61999?

Greatest common factor (GCF) of 61982 and 61999 is 17.

GCF(61982,61999) = 17

We will now calculate the prime factors of 61982 and 61999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61982 and 61999.

How to find the GCF of 61982 and 61999?

We will first find the prime factorization of 61982 and 61999. After we will calculate the factors of 61982 and 61999 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61999

Prime factors of 61999 are 7, 17, 521. Prime factorization of 61999 in exponential form is:

61999 = 7¹ × 17¹ × 521¹

Step-3: Factors of 61982

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

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

Step-4: Factors of 61999

List of positive integer factors of 61999 that divides 61982 without a remainder.

1, 7, 17, 119, 521, 3647, 8857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61982 and 61999. The biggest common factor number is the GCF number.
So the greatest common factor 61982 and 61999 is 17.

Also check out the Least Common Multiple of 61982 and 61999