What is the Greatest Common Factor of 79982 and 80002?

Greatest common factor (GCF) of 79982 and 80002 is 2.

GCF(79982,80002) = 2

We will now calculate the prime factors of 79982 and 80002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79982 and 80002.

How to find the GCF of 79982 and 80002?

We will first find the prime factorization of 79982 and 80002. After we will calculate the factors of 79982 and 80002 and find the biggest common factor number .

Step-1: Prime Factorization of 79982

Prime factors of 79982 are 2, 7, 29, 197. Prime factorization of 79982 in exponential form is:

79982 = 2¹ × 7¹ × 29¹ × 197¹

Step-2: Prime Factorization of 80002

Prime factors of 80002 are 2, 13, 17, 181. Prime factorization of 80002 in exponential form is:

80002 = 2¹ × 13¹ × 17¹ × 181¹

Step-3: Factors of 79982

List of positive integer factors of 79982 that divides 79982 without a remainder.

1, 2, 7, 14, 29, 58, 197, 203, 394, 406, 1379, 2758, 5713, 11426, 39991

Step-4: Factors of 80002

List of positive integer factors of 80002 that divides 79982 without a remainder.

1, 2, 13, 17, 26, 34, 181, 221, 362, 442, 2353, 3077, 4706, 6154, 40001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79982 and 80002. The biggest common factor number is the GCF number.
So the greatest common factor 79982 and 80002 is 2.

Also check out the Least Common Multiple of 79982 and 80002