What is the Greatest Common Factor of 82950 and 82964?

Greatest common factor (GCF) of 82950 and 82964 is 14.

GCF(82950,82964) = 14

We will now calculate the prime factors of 82950 and 82964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82950 and 82964.

How to find the GCF of 82950 and 82964?

We will first find the prime factorization of 82950 and 82964. After we will calculate the factors of 82950 and 82964 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82964

Prime factors of 82964 are 2, 7, 2963. Prime factorization of 82964 in exponential form is:

82964 = 2² × 7¹ × 2963¹

Step-3: Factors of 82950

List of positive integer factors of 82950 that divides 82950 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

Step-4: Factors of 82964

List of positive integer factors of 82964 that divides 82950 without a remainder.

1, 2, 4, 7, 14, 28, 2963, 5926, 11852, 20741, 41482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82950 and 82964. The biggest common factor number is the GCF number.
So the greatest common factor 82950 and 82964 is 14.

Also check out the Least Common Multiple of 82950 and 82964