What is the Greatest Common Factor of 53100 and 53112?

Greatest common factor (GCF) of 53100 and 53112 is 12.

GCF(53100,53112) = 12

We will now calculate the prime factors of 53100 and 53112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53100 and 53112.

How to find the GCF of 53100 and 53112?

We will first find the prime factorization of 53100 and 53112. After we will calculate the factors of 53100 and 53112 and find the biggest common factor number .

Step-1: Prime Factorization of 53100

Prime factors of 53100 are 2, 3, 5, 59. Prime factorization of 53100 in exponential form is:

53100 = 2² × 3² × 5² × 59¹

Step-2: Prime Factorization of 53112

Prime factors of 53112 are 2, 3, 2213. Prime factorization of 53112 in exponential form is:

53112 = 2³ × 3¹ × 2213¹

Step-3: Factors of 53100

List of positive integer factors of 53100 that divides 53100 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 59, 60, 75, 90, 100, 118, 150, 177, 180, 225, 236, 295, 300, 354, 450, 531, 590, 708, 885, 900, 1062, 1180, 1475, 1770, 2124, 2655, 2950, 3540, 4425, 5310, 5900, 8850, 10620, 13275, 17700, 26550

Step-4: Factors of 53112

List of positive integer factors of 53112 that divides 53100 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2213, 4426, 6639, 8852, 13278, 17704, 26556

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53100 and 53112. The biggest common factor number is the GCF number.
So the greatest common factor 53100 and 53112 is 12.

Also check out the Least Common Multiple of 53100 and 53112