What is the Greatest Common Factor of 79382 and 79402?

Greatest common factor (GCF) of 79382 and 79402 is 2.

GCF(79382,79402) = 2

We will now calculate the prime factors of 79382 and 79402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79382 and 79402.

How to find the GCF of 79382 and 79402?

We will first find the prime factorization of 79382 and 79402. After we will calculate the factors of 79382 and 79402 and find the biggest common factor number .

Step-1: Prime Factorization of 79382

Prime factors of 79382 are 2, 19, 2089. Prime factorization of 79382 in exponential form is:

79382 = 2¹ × 19¹ × 2089¹

Step-2: Prime Factorization of 79402

Prime factors of 79402 are 2, 29, 37. Prime factorization of 79402 in exponential form is:

79402 = 2¹ × 29¹ × 37²

Step-3: Factors of 79382

List of positive integer factors of 79382 that divides 79382 without a remainder.

1, 2, 19, 38, 2089, 4178, 39691

Step-4: Factors of 79402

List of positive integer factors of 79402 that divides 79382 without a remainder.

1, 2, 29, 37, 58, 74, 1073, 1369, 2146, 2738, 39701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79382 and 79402. The biggest common factor number is the GCF number.
So the greatest common factor 79382 and 79402 is 2.

Also check out the Least Common Multiple of 79382 and 79402