What is the Greatest Common Factor of 83049 and 83064?

Greatest common factor (GCF) of 83049 and 83064 is 3.

GCF(83049,83064) = 3

We will now calculate the prime factors of 83049 and 83064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83049 and 83064.

How to find the GCF of 83049 and 83064?

We will first find the prime factorization of 83049 and 83064. After we will calculate the factors of 83049 and 83064 and find the biggest common factor number .

Step-1: Prime Factorization of 83049

Prime factors of 83049 are 3, 19, 31, 47. Prime factorization of 83049 in exponential form is:

83049 = 3¹ × 19¹ × 31¹ × 47¹

Step-2: Prime Factorization of 83064

Prime factors of 83064 are 2, 3, 3461. Prime factorization of 83064 in exponential form is:

83064 = 2³ × 3¹ × 3461¹

Step-3: Factors of 83049

List of positive integer factors of 83049 that divides 83049 without a remainder.

1, 3, 19, 31, 47, 57, 93, 141, 589, 893, 1457, 1767, 2679, 4371, 27683

Step-4: Factors of 83064

List of positive integer factors of 83064 that divides 83049 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3461, 6922, 10383, 13844, 20766, 27688, 41532

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83049 and 83064. The biggest common factor number is the GCF number.
So the greatest common factor 83049 and 83064 is 3.

Also check out the Least Common Multiple of 83049 and 83064