What is the Greatest Common Factor of 83415 and 83426?

Greatest common factor (GCF) of 83415 and 83426 is 1.

GCF(83415,83426) = 1

We will now calculate the prime factors of 83415 and 83426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83415 and 83426.

How to find the GCF of 83415 and 83426?

We will first find the prime factorization of 83415 and 83426. After we will calculate the factors of 83415 and 83426 and find the biggest common factor number .

Step-1: Prime Factorization of 83415

Prime factors of 83415 are 3, 5, 67, 83. Prime factorization of 83415 in exponential form is:

83415 = 3¹ × 5¹ × 67¹ × 83¹

Step-2: Prime Factorization of 83426

Prime factors of 83426 are 2, 7, 59, 101. Prime factorization of 83426 in exponential form is:

83426 = 2¹ × 7¹ × 59¹ × 101¹

Step-3: Factors of 83415

List of positive integer factors of 83415 that divides 83415 without a remainder.

1, 3, 5, 15, 67, 83, 201, 249, 335, 415, 1005, 1245, 5561, 16683, 27805

Step-4: Factors of 83426

List of positive integer factors of 83426 that divides 83415 without a remainder.

1, 2, 7, 14, 59, 101, 118, 202, 413, 707, 826, 1414, 5959, 11918, 41713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83415 and 83426. The biggest common factor number is the GCF number.
So the greatest common factor 83415 and 83426 is 1.

Also check out the Least Common Multiple of 83415 and 83426