What is the Greatest Common Factor of 83220 and 83239?

Greatest common factor (GCF) of 83220 and 83239 is 19.

GCF(83220,83239) = 19

We will now calculate the prime factors of 83220 and 83239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83220 and 83239.

How to find the GCF of 83220 and 83239?

We will first find the prime factorization of 83220 and 83239. After we will calculate the factors of 83220 and 83239 and find the biggest common factor number .

Step-1: Prime Factorization of 83220

Prime factors of 83220 are 2, 3, 5, 19, 73. Prime factorization of 83220 in exponential form is:

83220 = 2² × 3¹ × 5¹ × 19¹ × 73¹

Step-2: Prime Factorization of 83239

Prime factors of 83239 are 13, 19, 337. Prime factorization of 83239 in exponential form is:

83239 = 13¹ × 19¹ × 337¹

Step-3: Factors of 83220

List of positive integer factors of 83220 that divides 83220 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 73, 76, 95, 114, 146, 190, 219, 228, 285, 292, 365, 380, 438, 570, 730, 876, 1095, 1140, 1387, 1460, 2190, 2774, 4161, 4380, 5548, 6935, 8322, 13870, 16644, 20805, 27740, 41610

Step-4: Factors of 83239

List of positive integer factors of 83239 that divides 83220 without a remainder.

1, 13, 19, 247, 337, 4381, 6403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83220 and 83239. The biggest common factor number is the GCF number.
So the greatest common factor 83220 and 83239 is 19.

Also check out the Least Common Multiple of 83220 and 83239