What is the Greatest Common Factor of 61916 and 61930?

Greatest common factor (GCF) of 61916 and 61930 is 2.

GCF(61916,61930) = 2

We will now calculate the prime factors of 61916 and 61930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61916 and 61930.

How to find the GCF of 61916 and 61930?

We will first find the prime factorization of 61916 and 61930. After we will calculate the factors of 61916 and 61930 and find the biggest common factor number .

Step-1: Prime Factorization of 61916

Prime factors of 61916 are 2, 23, 673. Prime factorization of 61916 in exponential form is:

61916 = 2² × 23¹ × 673¹

Step-2: Prime Factorization of 61930

Prime factors of 61930 are 2, 5, 11, 563. Prime factorization of 61930 in exponential form is:

61930 = 2¹ × 5¹ × 11¹ × 563¹

Step-3: Factors of 61916

List of positive integer factors of 61916 that divides 61916 without a remainder.

1, 2, 4, 23, 46, 92, 673, 1346, 2692, 15479, 30958

Step-4: Factors of 61930

List of positive integer factors of 61930 that divides 61916 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 563, 1126, 2815, 5630, 6193, 12386, 30965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61916 and 61930. The biggest common factor number is the GCF number.
So the greatest common factor 61916 and 61930 is 2.

Also check out the Least Common Multiple of 61916 and 61930