What is the Greatest Common Factor of 72202 and 72214?

Greatest common factor (GCF) of 72202 and 72214 is 2.

GCF(72202,72214) = 2

We will now calculate the prime factors of 72202 and 72214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72202 and 72214.

How to find the GCF of 72202 and 72214?

We will first find the prime factorization of 72202 and 72214. After we will calculate the factors of 72202 and 72214 and find the biggest common factor number .

Step-1: Prime Factorization of 72202

Prime factors of 72202 are 2, 13, 2777. Prime factorization of 72202 in exponential form is:

72202 = 2¹ × 13¹ × 2777¹

Step-2: Prime Factorization of 72214

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

72214 = 2¹ × 36107¹

Step-3: Factors of 72202

List of positive integer factors of 72202 that divides 72202 without a remainder.

1, 2, 13, 26, 2777, 5554, 36101

Step-4: Factors of 72214

List of positive integer factors of 72214 that divides 72202 without a remainder.

1, 2, 36107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72202 and 72214. The biggest common factor number is the GCF number.
So the greatest common factor 72202 and 72214 is 2.

Also check out the Least Common Multiple of 72202 and 72214