What is the Greatest Common Factor of 61874 and 61892?

Greatest common factor (GCF) of 61874 and 61892 is 2.

GCF(61874,61892) = 2

We will now calculate the prime factors of 61874 and 61892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61874 and 61892.

How to find the GCF of 61874 and 61892?

We will first find the prime factorization of 61874 and 61892. After we will calculate the factors of 61874 and 61892 and find the biggest common factor number .

Step-1: Prime Factorization of 61874

Prime factors of 61874 are 2, 30937. Prime factorization of 61874 in exponential form is:

61874 = 2¹ × 30937¹

Step-2: Prime Factorization of 61892

Prime factors of 61892 are 2, 15473. Prime factorization of 61892 in exponential form is:

61892 = 2² × 15473¹

Step-3: Factors of 61874

List of positive integer factors of 61874 that divides 61874 without a remainder.

1, 2, 30937

Step-4: Factors of 61892

List of positive integer factors of 61892 that divides 61874 without a remainder.

1, 2, 4, 15473, 30946

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61874 and 61892. The biggest common factor number is the GCF number.
So the greatest common factor 61874 and 61892 is 2.

Also check out the Least Common Multiple of 61874 and 61892