What is the Greatest Common Factor of 83135 and 83148?

Greatest common factor (GCF) of 83135 and 83148 is 13.

GCF(83135,83148) = 13

We will now calculate the prime factors of 83135 and 83148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83135 and 83148.

How to find the GCF of 83135 and 83148?

We will first find the prime factorization of 83135 and 83148. After we will calculate the factors of 83135 and 83148 and find the biggest common factor number .

Step-1: Prime Factorization of 83135

Prime factors of 83135 are 5, 13, 1279. Prime factorization of 83135 in exponential form is:

83135 = 5¹ × 13¹ × 1279¹

Step-2: Prime Factorization of 83148

Prime factors of 83148 are 2, 3, 13, 41. Prime factorization of 83148 in exponential form is:

83148 = 2² × 3¹ × 13² × 41¹

Step-3: Factors of 83135

List of positive integer factors of 83135 that divides 83135 without a remainder.

1, 5, 13, 65, 1279, 6395, 16627

Step-4: Factors of 83148

List of positive integer factors of 83148 that divides 83135 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 41, 52, 78, 82, 123, 156, 164, 169, 246, 338, 492, 507, 533, 676, 1014, 1066, 1599, 2028, 2132, 3198, 6396, 6929, 13858, 20787, 27716, 41574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83135 and 83148. The biggest common factor number is the GCF number.
So the greatest common factor 83135 and 83148 is 13.

Also check out the Least Common Multiple of 83135 and 83148