What is the Greatest Common Factor of 53064 and 53076?

Greatest common factor (GCF) of 53064 and 53076 is 12.

GCF(53064,53076) = 12

We will now calculate the prime factors of 53064 and 53076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53064 and 53076.

How to find the GCF of 53064 and 53076?

We will first find the prime factorization of 53064 and 53076. After we will calculate the factors of 53064 and 53076 and find the biggest common factor number .

Step-1: Prime Factorization of 53064

Prime factors of 53064 are 2, 3, 11, 67. Prime factorization of 53064 in exponential form is:

53064 = 2³ × 3² × 11¹ × 67¹

Step-2: Prime Factorization of 53076

Prime factors of 53076 are 2, 3, 4423. Prime factorization of 53076 in exponential form is:

53076 = 2² × 3¹ × 4423¹

Step-3: Factors of 53064

List of positive integer factors of 53064 that divides 53064 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 67, 72, 88, 99, 132, 134, 198, 201, 264, 268, 396, 402, 536, 603, 737, 792, 804, 1206, 1474, 1608, 2211, 2412, 2948, 4422, 4824, 5896, 6633, 8844, 13266, 17688, 26532

Step-4: Factors of 53076

List of positive integer factors of 53076 that divides 53064 without a remainder.

1, 2, 3, 4, 6, 12, 4423, 8846, 13269, 17692, 26538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53064 and 53076. The biggest common factor number is the GCF number.
So the greatest common factor 53064 and 53076 is 12.

Also check out the Least Common Multiple of 53064 and 53076