What is the Greatest Common Factor of 61896 and 61904?

Greatest common factor (GCF) of 61896 and 61904 is 8.

GCF(61896,61904) = 8

We will now calculate the prime factors of 61896 and 61904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61896 and 61904.

How to find the GCF of 61896 and 61904?

We will first find the prime factorization of 61896 and 61904. After we will calculate the factors of 61896 and 61904 and find the biggest common factor number .

Step-1: Prime Factorization of 61896

Prime factors of 61896 are 2, 3, 2579. Prime factorization of 61896 in exponential form is:

61896 = 2³ × 3¹ × 2579¹

Step-2: Prime Factorization of 61904

Prime factors of 61904 are 2, 53, 73. Prime factorization of 61904 in exponential form is:

61904 = 2⁴ × 53¹ × 73¹

Step-3: Factors of 61896

List of positive integer factors of 61896 that divides 61896 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2579, 5158, 7737, 10316, 15474, 20632, 30948

Step-4: Factors of 61904

List of positive integer factors of 61904 that divides 61896 without a remainder.

1, 2, 4, 8, 16, 53, 73, 106, 146, 212, 292, 424, 584, 848, 1168, 3869, 7738, 15476, 30952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61896 and 61904. The biggest common factor number is the GCF number.
So the greatest common factor 61896 and 61904 is 8.

Also check out the Least Common Multiple of 61896 and 61904