What is the Greatest Common Factor of 83048 and 83062?

Greatest common factor (GCF) of 83048 and 83062 is 14.

GCF(83048,83062) = 14

We will now calculate the prime factors of 83048 and 83062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83048 and 83062.

How to find the GCF of 83048 and 83062?

We will first find the prime factorization of 83048 and 83062. After we will calculate the factors of 83048 and 83062 and find the biggest common factor number .

Step-1: Prime Factorization of 83048

Prime factors of 83048 are 2, 7, 1483. Prime factorization of 83048 in exponential form is:

83048 = 2³ × 7¹ × 1483¹

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 83048

List of positive integer factors of 83048 that divides 83048 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1483, 2966, 5932, 10381, 11864, 20762, 41524

Step-4: Factors of 83062

List of positive integer factors of 83062 that divides 83048 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 83048 and 83062. The biggest common factor number is the GCF number.
So the greatest common factor 83048 and 83062 is 14.

Also check out the Least Common Multiple of 83048 and 83062