What is the Greatest Common Factor of 81970 and 81982?

Greatest common factor (GCF) of 81970 and 81982 is 2.

GCF(81970,81982) = 2

We will now calculate the prime factors of 81970 and 81982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81970 and 81982.

How to find the GCF of 81970 and 81982?

We will first find the prime factorization of 81970 and 81982. After we will calculate the factors of 81970 and 81982 and find the biggest common factor number .

Step-1: Prime Factorization of 81970

Prime factors of 81970 are 2, 5, 7, 1171. Prime factorization of 81970 in exponential form is:

81970 = 2¹ × 5¹ × 7¹ × 1171¹

Step-2: Prime Factorization of 81982

Prime factors of 81982 are 2, 179, 229. Prime factorization of 81982 in exponential form is:

81982 = 2¹ × 179¹ × 229¹

Step-3: Factors of 81970

List of positive integer factors of 81970 that divides 81970 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1171, 2342, 5855, 8197, 11710, 16394, 40985

Step-4: Factors of 81982

List of positive integer factors of 81982 that divides 81970 without a remainder.

1, 2, 179, 229, 358, 458, 40991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81970 and 81982. The biggest common factor number is the GCF number.
So the greatest common factor 81970 and 81982 is 2.

Also check out the Least Common Multiple of 81970 and 81982