What is the Greatest Common Factor of 61414 and 61420?

Greatest common factor (GCF) of 61414 and 61420 is 2.

GCF(61414,61420) = 2

We will now calculate the prime factors of 61414 and 61420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61414 and 61420.

How to find the GCF of 61414 and 61420?

We will first find the prime factorization of 61414 and 61420. After we will calculate the factors of 61414 and 61420 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 61420

Prime factors of 61420 are 2, 5, 37, 83. Prime factorization of 61420 in exponential form is:

61420 = 2² × 5¹ × 37¹ × 83¹

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 61420

List of positive integer factors of 61420 that divides 61414 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 83, 148, 166, 185, 332, 370, 415, 740, 830, 1660, 3071, 6142, 12284, 15355, 30710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61414 and 61420. The biggest common factor number is the GCF number.
So the greatest common factor 61414 and 61420 is 2.

Also check out the Least Common Multiple of 61414 and 61420