What is the Greatest Common Factor of 61908 and 61916?

Greatest common factor (GCF) of 61908 and 61916 is 4.

GCF(61908,61916) = 4

We will now calculate the prime factors of 61908 and 61916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61908 and 61916.

How to find the GCF of 61908 and 61916?

We will first find the prime factorization of 61908 and 61916. After we will calculate the factors of 61908 and 61916 and find the biggest common factor number .

Step-1: Prime Factorization of 61908

Prime factors of 61908 are 2, 3, 7, 11, 67. Prime factorization of 61908 in exponential form is:

61908 = 2² × 3¹ × 7¹ × 11¹ × 67¹

Step-2: 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-3: Factors of 61908

List of positive integer factors of 61908 that divides 61908 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 67, 77, 84, 132, 134, 154, 201, 231, 268, 308, 402, 462, 469, 737, 804, 924, 938, 1407, 1474, 1876, 2211, 2814, 2948, 4422, 5159, 5628, 8844, 10318, 15477, 20636, 30954

Step-4: Factors of 61916

List of positive integer factors of 61916 that divides 61908 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61908 and 61916. The biggest common factor number is the GCF number.
So the greatest common factor 61908 and 61916 is 4.

Also check out the Least Common Multiple of 61908 and 61916