What is the Greatest Common Factor of 83425 and 83436?

Greatest common factor (GCF) of 83425 and 83436 is 1.

GCF(83425,83436) = 1

We will now calculate the prime factors of 83425 and 83436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83425 and 83436.

How to find the GCF of 83425 and 83436?

We will first find the prime factorization of 83425 and 83436. After we will calculate the factors of 83425 and 83436 and find the biggest common factor number .

Step-1: Prime Factorization of 83425

Prime factors of 83425 are 5, 47, 71. Prime factorization of 83425 in exponential form is:

83425 = 5² × 47¹ × 71¹

Step-2: Prime Factorization of 83436

Prime factors of 83436 are 2, 3, 17, 409. Prime factorization of 83436 in exponential form is:

83436 = 2² × 3¹ × 17¹ × 409¹

Step-3: Factors of 83425

List of positive integer factors of 83425 that divides 83425 without a remainder.

1, 5, 25, 47, 71, 235, 355, 1175, 1775, 3337, 16685

Step-4: Factors of 83436

List of positive integer factors of 83436 that divides 83425 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 409, 818, 1227, 1636, 2454, 4908, 6953, 13906, 20859, 27812, 41718

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83425 and 83436. The biggest common factor number is the GCF number.
So the greatest common factor 83425 and 83436 is 1.

Also check out the Least Common Multiple of 83425 and 83436