What is the Greatest Common Factor of 53004 and 53014?

Greatest common factor (GCF) of 53004 and 53014 is 2.

GCF(53004,53014) = 2

We will now calculate the prime factors of 53004 and 53014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53004 and 53014.

How to find the GCF of 53004 and 53014?

We will first find the prime factorization of 53004 and 53014. After we will calculate the factors of 53004 and 53014 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 53014

Prime factors of 53014 are 2, 13, 2039. Prime factorization of 53014 in exponential form is:

53014 = 2¹ × 13¹ × 2039¹

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 53014

List of positive integer factors of 53014 that divides 53004 without a remainder.

1, 2, 13, 26, 2039, 4078, 26507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53004 and 53014. The biggest common factor number is the GCF number.
So the greatest common factor 53004 and 53014 is 2.

Also check out the Least Common Multiple of 53004 and 53014