What is the Greatest Common Factor of 83980 and 83991?

Greatest common factor (GCF) of 83980 and 83991 is 1.

GCF(83980,83991) = 1

We will now calculate the prime factors of 83980 and 83991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83980 and 83991.

How to find the GCF of 83980 and 83991?

We will first find the prime factorization of 83980 and 83991. After we will calculate the factors of 83980 and 83991 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 83991

Prime factors of 83991 are 3, 27997. Prime factorization of 83991 in exponential form is:

83991 = 3¹ × 27997¹

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 83991

List of positive integer factors of 83991 that divides 83980 without a remainder.

1, 3, 27997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83980 and 83991. The biggest common factor number is the GCF number.
So the greatest common factor 83980 and 83991 is 1.

Also check out the Least Common Multiple of 83980 and 83991