What is the Greatest Common Factor of 83054 and 83062?

Greatest common factor (GCF) of 83054 and 83062 is 2.

GCF(83054,83062) = 2

We will now calculate the prime factors of 83054 and 83062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83054 and 83062.

How to find the GCF of 83054 and 83062?

We will first find the prime factorization of 83054 and 83062. After we will calculate the factors of 83054 and 83062 and find the biggest common factor number .

Step-1: Prime Factorization of 83054

Prime factors of 83054 are 2, 131, 317. Prime factorization of 83054 in exponential form is:

83054 = 2¹ × 131¹ × 317¹

Step-2: Prime Factorization of 83062

Prime factors of 83062 are 2, 7, 17, 349. Prime factorization of 83062 in exponential form is:

83062 = 2¹ × 7¹ × 17¹ × 349¹

Step-3: Factors of 83054

List of positive integer factors of 83054 that divides 83054 without a remainder.

1, 2, 131, 262, 317, 634, 41527

Step-4: Factors of 83062

List of positive integer factors of 83062 that divides 83054 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 349, 698, 2443, 4886, 5933, 11866, 41531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83054 and 83062. The biggest common factor number is the GCF number.
So the greatest common factor 83054 and 83062 is 2.

Also check out the Least Common Multiple of 83054 and 83062