What is the Greatest Common Factor of 53064 and 53075?

Greatest common factor (GCF) of 53064 and 53075 is 11.

GCF(53064,53075) = 11

We will now calculate the prime factors of 53064 and 53075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53064 and 53075.

How to find the GCF of 53064 and 53075?

We will first find the prime factorization of 53064 and 53075. After we will calculate the factors of 53064 and 53075 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 53075

Prime factors of 53075 are 5, 11, 193. Prime factorization of 53075 in exponential form is:

53075 = 5² × 11¹ × 193¹

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 53075

List of positive integer factors of 53075 that divides 53064 without a remainder.

1, 5, 11, 25, 55, 193, 275, 965, 2123, 4825, 10615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53064 and 53075. The biggest common factor number is the GCF number.
So the greatest common factor 53064 and 53075 is 11.

Also check out the Least Common Multiple of 53064 and 53075