What is the Greatest Common Factor of 83980 and 83993?

Greatest common factor (GCF) of 83980 and 83993 is 13.

GCF(83980,83993) = 13

We will now calculate the prime factors of 83980 and 83993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83980 and 83993.

How to find the GCF of 83980 and 83993?

We will first find the prime factorization of 83980 and 83993. After we will calculate the factors of 83980 and 83993 and find the biggest common factor number .

Step-1: Prime Factorization of 83980

Prime factors of 83980 are 2, 5, 13, 17, 19. Prime factorization of 83980 in exponential form is:

83980 = 2² × 5¹ × 13¹ × 17¹ × 19¹

Step-2: Prime Factorization of 83993

Prime factors of 83993 are 7, 13, 71. Prime factorization of 83993 in exponential form is:

83993 = 7¹ × 13² × 71¹

Step-3: Factors of 83980

List of positive integer factors of 83980 that divides 83980 without a remainder.

1, 2, 4, 5, 10, 13, 17, 19, 20, 26, 34, 38, 52, 65, 68, 76, 85, 95, 130, 170, 190, 221, 247, 260, 323, 340, 380, 442, 494, 646, 884, 988, 1105, 1235, 1292, 1615, 2210, 2470, 3230, 4199, 4420, 4940, 6460, 8398, 16796, 20995, 41990

Step-4: Factors of 83993

List of positive integer factors of 83993 that divides 83980 without a remainder.

1, 7, 13, 71, 91, 169, 497, 923, 1183, 6461, 11999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83980 and 83993. The biggest common factor number is the GCF number.
So the greatest common factor 83980 and 83993 is 13.

Also check out the Least Common Multiple of 83980 and 83993