What is the Greatest Common Factor of 83970 and 83980?

Greatest common factor (GCF) of 83970 and 83980 is 10.

GCF(83970,83980) = 10

We will now calculate the prime factors of 83970 and 83980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83970 and 83980.

How to find the GCF of 83970 and 83980?

We will first find the prime factorization of 83970 and 83980. After we will calculate the factors of 83970 and 83980 and find the biggest common factor number .

Step-1: Prime Factorization of 83970

Prime factors of 83970 are 2, 3, 5, 311. Prime factorization of 83970 in exponential form is:

83970 = 2¹ × 3³ × 5¹ × 311¹

Step-2: 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-3: Factors of 83970

List of positive integer factors of 83970 that divides 83970 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 311, 622, 933, 1555, 1866, 2799, 3110, 4665, 5598, 8397, 9330, 13995, 16794, 27990, 41985

Step-4: Factors of 83980

List of positive integer factors of 83980 that divides 83970 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83970 and 83980. The biggest common factor number is the GCF number.
So the greatest common factor 83970 and 83980 is 10.

Also check out the Least Common Multiple of 83970 and 83980