What is the Greatest Common Factor of 53394 and 53402?

Greatest common factor (GCF) of 53394 and 53402 is 2.

GCF(53394,53402) = 2

We will now calculate the prime factors of 53394 and 53402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53394 and 53402.

How to find the GCF of 53394 and 53402?

We will first find the prime factorization of 53394 and 53402. After we will calculate the factors of 53394 and 53402 and find the biggest common factor number .

Step-1: Prime Factorization of 53394

Prime factors of 53394 are 2, 3, 11, 809. Prime factorization of 53394 in exponential form is:

53394 = 2¹ × 3¹ × 11¹ × 809¹

Step-2: Prime Factorization of 53402

Prime factors of 53402 are 2, 26701. Prime factorization of 53402 in exponential form is:

53402 = 2¹ × 26701¹

Step-3: Factors of 53394

List of positive integer factors of 53394 that divides 53394 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 809, 1618, 2427, 4854, 8899, 17798, 26697

Step-4: Factors of 53402

List of positive integer factors of 53402 that divides 53394 without a remainder.

1, 2, 26701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53394 and 53402. The biggest common factor number is the GCF number.
So the greatest common factor 53394 and 53402 is 2.

Also check out the Least Common Multiple of 53394 and 53402