What is the Greatest Common Factor of 83131 and 83135?

Greatest common factor (GCF) of 83131 and 83135 is 1.

GCF(83131,83135) = 1

We will now calculate the prime factors of 83131 and 83135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83131 and 83135.

How to find the GCF of 83131 and 83135?

We will first find the prime factorization of 83131 and 83135. After we will calculate the factors of 83131 and 83135 and find the biggest common factor number .

Step-1: Prime Factorization of 83131

Prime factors of 83131 are 59, 1409. Prime factorization of 83131 in exponential form is:

83131 = 59¹ × 1409¹

Step-2: 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-3: Factors of 83131

List of positive integer factors of 83131 that divides 83131 without a remainder.

1, 59, 1409

Step-4: Factors of 83135

List of positive integer factors of 83135 that divides 83131 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83131 and 83135. The biggest common factor number is the GCF number.
So the greatest common factor 83131 and 83135 is 1.

Also check out the Least Common Multiple of 83131 and 83135