What is the Greatest Common Factor of 61893 and 61908?

Greatest common factor (GCF) of 61893 and 61908 is 3.

GCF(61893,61908) = 3

We will now calculate the prime factors of 61893 and 61908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61893 and 61908.

How to find the GCF of 61893 and 61908?

We will first find the prime factorization of 61893 and 61908. After we will calculate the factors of 61893 and 61908 and find the biggest common factor number .

Step-1: Prime Factorization of 61893

Prime factors of 61893 are 3, 13, 23. Prime factorization of 61893 in exponential form is:

61893 = 3² × 13¹ × 23²

Step-2: 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-3: Factors of 61893

List of positive integer factors of 61893 that divides 61893 without a remainder.

1, 3, 9, 13, 23, 39, 69, 117, 207, 299, 529, 897, 1587, 2691, 4761, 6877, 20631

Step-4: Factors of 61908

List of positive integer factors of 61908 that divides 61893 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61893 and 61908. The biggest common factor number is the GCF number.
So the greatest common factor 61893 and 61908 is 3.

Also check out the Least Common Multiple of 61893 and 61908