What is the Greatest Common Factor of 53064 and 53072?

Greatest common factor (GCF) of 53064 and 53072 is 8.

GCF(53064,53072) = 8

We will now calculate the prime factors of 53064 and 53072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53064 and 53072.

How to find the GCF of 53064 and 53072?

We will first find the prime factorization of 53064 and 53072. After we will calculate the factors of 53064 and 53072 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 53072

Prime factors of 53072 are 2, 31, 107. Prime factorization of 53072 in exponential form is:

53072 = 2⁴ × 31¹ × 107¹

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 53072

List of positive integer factors of 53072 that divides 53064 without a remainder.

1, 2, 4, 8, 16, 31, 62, 107, 124, 214, 248, 428, 496, 856, 1712, 3317, 6634, 13268, 26536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53064 and 53072. The biggest common factor number is the GCF number.
So the greatest common factor 53064 and 53072 is 8.

Also check out the Least Common Multiple of 53064 and 53072