What is the Greatest Common Factor of 53046 and 53064?

Greatest common factor (GCF) of 53046 and 53064 is 18.

GCF(53046,53064) = 18

We will now calculate the prime factors of 53046 and 53064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53046 and 53064.

How to find the GCF of 53046 and 53064?

We will first find the prime factorization of 53046 and 53064. After we will calculate the factors of 53046 and 53064 and find the biggest common factor number .

Step-1: Prime Factorization of 53046

Prime factors of 53046 are 2, 3, 7, 421. Prime factorization of 53046 in exponential form is:

53046 = 2¹ × 3² × 7¹ × 421¹

Step-2: 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-3: Factors of 53046

List of positive integer factors of 53046 that divides 53046 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 421, 842, 1263, 2526, 2947, 3789, 5894, 7578, 8841, 17682, 26523

Step-4: Factors of 53064

List of positive integer factors of 53064 that divides 53046 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53046 and 53064. The biggest common factor number is the GCF number.
So the greatest common factor 53046 and 53064 is 18.

Also check out the Least Common Multiple of 53046 and 53064