What is the Greatest Common Factor of 61392 and 61402?

Greatest common factor (GCF) of 61392 and 61402 is 2.

GCF(61392,61402) = 2

We will now calculate the prime factors of 61392 and 61402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61392 and 61402.

How to find the GCF of 61392 and 61402?

We will first find the prime factorization of 61392 and 61402. After we will calculate the factors of 61392 and 61402 and find the biggest common factor number .

Step-1: Prime Factorization of 61392

Prime factors of 61392 are 2, 3, 1279. Prime factorization of 61392 in exponential form is:

61392 = 2⁴ × 3¹ × 1279¹

Step-2: Prime Factorization of 61402

Prime factors of 61402 are 2, 11, 2791. Prime factorization of 61402 in exponential form is:

61402 = 2¹ × 11¹ × 2791¹

Step-3: Factors of 61392

List of positive integer factors of 61392 that divides 61392 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1279, 2558, 3837, 5116, 7674, 10232, 15348, 20464, 30696

Step-4: Factors of 61402

List of positive integer factors of 61402 that divides 61392 without a remainder.

1, 2, 11, 22, 2791, 5582, 30701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61392 and 61402. The biggest common factor number is the GCF number.
So the greatest common factor 61392 and 61402 is 2.

Also check out the Least Common Multiple of 61392 and 61402