What is the Greatest Common Factor of 53214 and 53231?

Greatest common factor (GCF) of 53214 and 53231 is 1.

GCF(53214,53231) = 1

We will now calculate the prime factors of 53214 and 53231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53214 and 53231.

How to find the GCF of 53214 and 53231?

We will first find the prime factorization of 53214 and 53231. After we will calculate the factors of 53214 and 53231 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 53231

Prime factors of 53231 are 53231. Prime factorization of 53231 in exponential form is:

53231 = 53231¹

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 53231

List of positive integer factors of 53231 that divides 53214 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53214 and 53231. The biggest common factor number is the GCF number.
So the greatest common factor 53214 and 53231 is 1.

Also check out the Least Common Multiple of 53214 and 53231