What is the Greatest Common Factor of 61894 and 61908?

Greatest common factor (GCF) of 61894 and 61908 is 14.

GCF(61894,61908) = 14

We will now calculate the prime factors of 61894 and 61908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61894 and 61908.

How to find the GCF of 61894 and 61908?

We will first find the prime factorization of 61894 and 61908. After we will calculate the factors of 61894 and 61908 and find the biggest common factor number .

Step-1: Prime Factorization of 61894

Prime factors of 61894 are 2, 7, 4421. Prime factorization of 61894 in exponential form is:

61894 = 2¹ × 7¹ × 4421¹

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 61894

List of positive integer factors of 61894 that divides 61894 without a remainder.

1, 2, 7, 14, 4421, 8842, 30947

Step-4: Factors of 61908

List of positive integer factors of 61908 that divides 61894 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 61894 and 61908. The biggest common factor number is the GCF number.
So the greatest common factor 61894 and 61908 is 14.

Also check out the Least Common Multiple of 61894 and 61908