What is the Greatest Common Factor of 72214 and 72233?

Greatest common factor (GCF) of 72214 and 72233 is 1.

GCF(72214,72233) = 1

We will now calculate the prime factors of 72214 and 72233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72214 and 72233.

How to find the GCF of 72214 and 72233?

We will first find the prime factorization of 72214 and 72233. After we will calculate the factors of 72214 and 72233 and find the biggest common factor number .

Step-1: Prime Factorization of 72214

Prime factors of 72214 are 2, 36107. Prime factorization of 72214 in exponential form is:

72214 = 2¹ × 36107¹

Step-2: Prime Factorization of 72233

Prime factors of 72233 are 7, 17, 607. Prime factorization of 72233 in exponential form is:

72233 = 7¹ × 17¹ × 607¹

Step-3: Factors of 72214

List of positive integer factors of 72214 that divides 72214 without a remainder.

1, 2, 36107

Step-4: Factors of 72233

List of positive integer factors of 72233 that divides 72214 without a remainder.

1, 7, 17, 119, 607, 4249, 10319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72214 and 72233. The biggest common factor number is the GCF number.
So the greatest common factor 72214 and 72233 is 1.

Also check out the Least Common Multiple of 72214 and 72233