What is the Greatest Common Factor of 83125 and 83143?

Greatest common factor (GCF) of 83125 and 83143 is 1.

GCF(83125,83143) = 1

We will now calculate the prime factors of 83125 and 83143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83125 and 83143.

How to find the GCF of 83125 and 83143?

We will first find the prime factorization of 83125 and 83143. After we will calculate the factors of 83125 and 83143 and find the biggest common factor number .

Step-1: Prime Factorization of 83125

Prime factors of 83125 are 5, 7, 19. Prime factorization of 83125 in exponential form is:

83125 = 5⁴ × 7¹ × 19¹

Step-2: Prime Factorization of 83143

Prime factors of 83143 are 29, 47, 61. Prime factorization of 83143 in exponential form is:

83143 = 29¹ × 47¹ × 61¹

Step-3: Factors of 83125

List of positive integer factors of 83125 that divides 83125 without a remainder.

1, 5, 7, 19, 25, 35, 95, 125, 133, 175, 475, 625, 665, 875, 2375, 3325, 4375, 11875, 16625

Step-4: Factors of 83143

List of positive integer factors of 83143 that divides 83125 without a remainder.

1, 29, 47, 61, 1363, 1769, 2867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83125 and 83143. The biggest common factor number is the GCF number.
So the greatest common factor 83125 and 83143 is 1.

Also check out the Least Common Multiple of 83125 and 83143