What is the Greatest Common Factor of 49385 and 49402?

Greatest common factor (GCF) of 49385 and 49402 is 17.

GCF(49385,49402) = 17

We will now calculate the prime factors of 49385 and 49402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49385 and 49402.

How to find the GCF of 49385 and 49402?

We will first find the prime factorization of 49385 and 49402. After we will calculate the factors of 49385 and 49402 and find the biggest common factor number .

Step-1: Prime Factorization of 49385

Prime factors of 49385 are 5, 7, 17, 83. Prime factorization of 49385 in exponential form is:

49385 = 5¹ × 7¹ × 17¹ × 83¹

Step-2: Prime Factorization of 49402

Prime factors of 49402 are 2, 17, 1453. Prime factorization of 49402 in exponential form is:

49402 = 2¹ × 17¹ × 1453¹

Step-3: Factors of 49385

List of positive integer factors of 49385 that divides 49385 without a remainder.

1, 5, 7, 17, 35, 83, 85, 119, 415, 581, 595, 1411, 2905, 7055, 9877

Step-4: Factors of 49402

List of positive integer factors of 49402 that divides 49385 without a remainder.

1, 2, 17, 34, 1453, 2906, 24701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49385 and 49402. The biggest common factor number is the GCF number.
So the greatest common factor 49385 and 49402 is 17.

Also check out the Least Common Multiple of 49385 and 49402