What is the Greatest Common Factor of 61414 and 61428?

Greatest common factor (GCF) of 61414 and 61428 is 2.

GCF(61414,61428) = 2

We will now calculate the prime factors of 61414 and 61428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61414 and 61428.

How to find the GCF of 61414 and 61428?

We will first find the prime factorization of 61414 and 61428. After we will calculate the factors of 61414 and 61428 and find the biggest common factor number .

Step-1: Prime Factorization of 61414

Prime factors of 61414 are 2, 30707. Prime factorization of 61414 in exponential form is:

61414 = 2¹ × 30707¹

Step-2: Prime Factorization of 61428

Prime factors of 61428 are 2, 3, 5119. Prime factorization of 61428 in exponential form is:

61428 = 2² × 3¹ × 5119¹

Step-3: Factors of 61414

List of positive integer factors of 61414 that divides 61414 without a remainder.

1, 2, 30707

Step-4: Factors of 61428

List of positive integer factors of 61428 that divides 61414 without a remainder.

1, 2, 3, 4, 6, 12, 5119, 10238, 15357, 20476, 30714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61414 and 61428. The biggest common factor number is the GCF number.
So the greatest common factor 61414 and 61428 is 2.

Also check out the Least Common Multiple of 61414 and 61428