What is the Greatest Common Factor of 54834 and 54852?

Greatest common factor (GCF) of 54834 and 54852 is 6.

GCF(54834,54852) = 6

We will now calculate the prime factors of 54834 and 54852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54834 and 54852.

How to find the GCF of 54834 and 54852?

We will first find the prime factorization of 54834 and 54852. After we will calculate the factors of 54834 and 54852 and find the biggest common factor number .

Step-1: Prime Factorization of 54834

Prime factors of 54834 are 2, 3, 13, 19, 37. Prime factorization of 54834 in exponential form is:

54834 = 2¹ × 3¹ × 13¹ × 19¹ × 37¹

Step-2: Prime Factorization of 54852

Prime factors of 54852 are 2, 3, 7, 653. Prime factorization of 54852 in exponential form is:

54852 = 2² × 3¹ × 7¹ × 653¹

Step-3: Factors of 54834

List of positive integer factors of 54834 that divides 54834 without a remainder.

1, 2, 3, 6, 13, 19, 26, 37, 38, 39, 57, 74, 78, 111, 114, 222, 247, 481, 494, 703, 741, 962, 1406, 1443, 1482, 2109, 2886, 4218, 9139, 18278, 27417

Step-4: Factors of 54852

List of positive integer factors of 54852 that divides 54834 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 653, 1306, 1959, 2612, 3918, 4571, 7836, 9142, 13713, 18284, 27426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54834 and 54852. The biggest common factor number is the GCF number.
So the greatest common factor 54834 and 54852 is 6.

Also check out the Least Common Multiple of 54834 and 54852