What is the Greatest Common Factor of 53004 and 53018?

Greatest common factor (GCF) of 53004 and 53018 is 14.

GCF(53004,53018) = 14

We will now calculate the prime factors of 53004 and 53018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53004 and 53018.

How to find the GCF of 53004 and 53018?

We will first find the prime factorization of 53004 and 53018. After we will calculate the factors of 53004 and 53018 and find the biggest common factor number .

Step-1: Prime Factorization of 53004

Prime factors of 53004 are 2, 3, 7, 631. Prime factorization of 53004 in exponential form is:

53004 = 2² × 3¹ × 7¹ × 631¹

Step-2: Prime Factorization of 53018

Prime factors of 53018 are 2, 7, 541. Prime factorization of 53018 in exponential form is:

53018 = 2¹ × 7² × 541¹

Step-3: Factors of 53004

List of positive integer factors of 53004 that divides 53004 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 631, 1262, 1893, 2524, 3786, 4417, 7572, 8834, 13251, 17668, 26502

Step-4: Factors of 53018

List of positive integer factors of 53018 that divides 53004 without a remainder.

1, 2, 7, 14, 49, 98, 541, 1082, 3787, 7574, 26509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53004 and 53018. The biggest common factor number is the GCF number.
So the greatest common factor 53004 and 53018 is 14.

Also check out the Least Common Multiple of 53004 and 53018