What is the Greatest Common Factor of 82922 and 82936?

Greatest common factor (GCF) of 82922 and 82936 is 14.

GCF(82922,82936) = 14

We will now calculate the prime factors of 82922 and 82936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82922 and 82936.

How to find the GCF of 82922 and 82936?

We will first find the prime factorization of 82922 and 82936. After we will calculate the factors of 82922 and 82936 and find the biggest common factor number .

Step-1: Prime Factorization of 82922

Prime factors of 82922 are 2, 7, 5923. Prime factorization of 82922 in exponential form is:

82922 = 2¹ × 7¹ × 5923¹

Step-2: Prime Factorization of 82936

Prime factors of 82936 are 2, 7, 1481. Prime factorization of 82936 in exponential form is:

82936 = 2³ × 7¹ × 1481¹

Step-3: Factors of 82922

List of positive integer factors of 82922 that divides 82922 without a remainder.

1, 2, 7, 14, 5923, 11846, 41461

Step-4: Factors of 82936

List of positive integer factors of 82936 that divides 82922 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1481, 2962, 5924, 10367, 11848, 20734, 41468

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82922 and 82936. The biggest common factor number is the GCF number.
So the greatest common factor 82922 and 82936 is 14.

Also check out the Least Common Multiple of 82922 and 82936