What is the Greatest Common Factor of 83062 and 83076?

Greatest common factor (GCF) of 83062 and 83076 is 14.

GCF(83062,83076) = 14

We will now calculate the prime factors of 83062 and 83076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83062 and 83076.

How to find the GCF of 83062 and 83076?

We will first find the prime factorization of 83062 and 83076. After we will calculate the factors of 83062 and 83076 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83076

Prime factors of 83076 are 2, 3, 7, 23, 43. Prime factorization of 83076 in exponential form is:

83076 = 2² × 3¹ × 7¹ × 23¹ × 43¹

Step-3: Factors of 83062

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

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

Step-4: Factors of 83076

List of positive integer factors of 83076 that divides 83062 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 43, 46, 69, 84, 86, 92, 129, 138, 161, 172, 258, 276, 301, 322, 483, 516, 602, 644, 903, 966, 989, 1204, 1806, 1932, 1978, 2967, 3612, 3956, 5934, 6923, 11868, 13846, 20769, 27692, 41538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83062 and 83076. The biggest common factor number is the GCF number.
So the greatest common factor 83062 and 83076 is 14.

Also check out the Least Common Multiple of 83062 and 83076