What is the Greatest Common Factor of 83291 and 83304?

Greatest common factor (GCF) of 83291 and 83304 is 13.

GCF(83291,83304) = 13

We will now calculate the prime factors of 83291 and 83304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83291 and 83304.

How to find the GCF of 83291 and 83304?

We will first find the prime factorization of 83291 and 83304. After we will calculate the factors of 83291 and 83304 and find the biggest common factor number .

Step-1: Prime Factorization of 83291

Prime factors of 83291 are 13, 43, 149. Prime factorization of 83291 in exponential form is:

83291 = 13¹ × 43¹ × 149¹

Step-2: Prime Factorization of 83304

Prime factors of 83304 are 2, 3, 13, 89. Prime factorization of 83304 in exponential form is:

83304 = 2³ × 3² × 13¹ × 89¹

Step-3: Factors of 83291

List of positive integer factors of 83291 that divides 83291 without a remainder.

1, 13, 43, 149, 559, 1937, 6407

Step-4: Factors of 83304

List of positive integer factors of 83304 that divides 83291 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 89, 104, 117, 156, 178, 234, 267, 312, 356, 468, 534, 712, 801, 936, 1068, 1157, 1602, 2136, 2314, 3204, 3471, 4628, 6408, 6942, 9256, 10413, 13884, 20826, 27768, 41652

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83291 and 83304. The biggest common factor number is the GCF number.
So the greatest common factor 83291 and 83304 is 13.

Also check out the Least Common Multiple of 83291 and 83304