What is the Greatest Common Factor of 53214 and 53223?

Greatest common factor (GCF) of 53214 and 53223 is 3.

GCF(53214,53223) = 3

We will now calculate the prime factors of 53214 and 53223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53214 and 53223.

How to find the GCF of 53214 and 53223?

We will first find the prime factorization of 53214 and 53223. After we will calculate the factors of 53214 and 53223 and find the biggest common factor number .

Step-1: Prime Factorization of 53214

Prime factors of 53214 are 2, 3, 7, 181. Prime factorization of 53214 in exponential form is:

53214 = 2¹ × 3¹ × 7² × 181¹

Step-2: Prime Factorization of 53223

Prime factors of 53223 are 3, 113, 157. Prime factorization of 53223 in exponential form is:

53223 = 3¹ × 113¹ × 157¹

Step-3: Factors of 53214

List of positive integer factors of 53214 that divides 53214 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 181, 294, 362, 543, 1086, 1267, 2534, 3801, 7602, 8869, 17738, 26607

Step-4: Factors of 53223

List of positive integer factors of 53223 that divides 53214 without a remainder.

1, 3, 113, 157, 339, 471, 17741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53214 and 53223. The biggest common factor number is the GCF number.
So the greatest common factor 53214 and 53223 is 3.

Also check out the Least Common Multiple of 53214 and 53223