What is the Greatest Common Factor of 53214 and 53229?

Greatest common factor (GCF) of 53214 and 53229 is 3.

GCF(53214,53229) = 3

We will now calculate the prime factors of 53214 and 53229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53214 and 53229.

How to find the GCF of 53214 and 53229?

We will first find the prime factorization of 53214 and 53229. After we will calculate the factors of 53214 and 53229 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 53229

Prime factors of 53229 are 3, 11, 1613. Prime factorization of 53229 in exponential form is:

53229 = 3¹ × 11¹ × 1613¹

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 53229

List of positive integer factors of 53229 that divides 53214 without a remainder.

1, 3, 11, 33, 1613, 4839, 17743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53214 and 53229. The biggest common factor number is the GCF number.
So the greatest common factor 53214 and 53229 is 3.

Also check out the Least Common Multiple of 53214 and 53229