What is the Greatest Common Factor of 82945 and 82950?

Greatest common factor (GCF) of 82945 and 82950 is 5.

GCF(82945,82950) = 5

We will now calculate the prime factors of 82945 and 82950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82945 and 82950.

How to find the GCF of 82945 and 82950?

We will first find the prime factorization of 82945 and 82950. After we will calculate the factors of 82945 and 82950 and find the biggest common factor number .

Step-1: Prime Factorization of 82945

Prime factors of 82945 are 5, 53, 313. Prime factorization of 82945 in exponential form is:

82945 = 5¹ × 53¹ × 313¹

Step-2: Prime Factorization of 82950

Prime factors of 82950 are 2, 3, 5, 7, 79. Prime factorization of 82950 in exponential form is:

82950 = 2¹ × 3¹ × 5² × 7¹ × 79¹

Step-3: Factors of 82945

List of positive integer factors of 82945 that divides 82945 without a remainder.

1, 5, 53, 265, 313, 1565, 16589

Step-4: Factors of 82950

List of positive integer factors of 82950 that divides 82945 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 79, 105, 150, 158, 175, 210, 237, 350, 395, 474, 525, 553, 790, 1050, 1106, 1185, 1659, 1975, 2370, 2765, 3318, 3950, 5530, 5925, 8295, 11850, 13825, 16590, 27650, 41475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82945 and 82950. The biggest common factor number is the GCF number.
So the greatest common factor 82945 and 82950 is 5.

Also check out the Least Common Multiple of 82945 and 82950