What is the Greatest Common Factor of 72202 and 72219?

Greatest common factor (GCF) of 72202 and 72219 is 1.

GCF(72202,72219) = 1

We will now calculate the prime factors of 72202 and 72219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72202 and 72219.

How to find the GCF of 72202 and 72219?

We will first find the prime factorization of 72202 and 72219. After we will calculate the factors of 72202 and 72219 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 72219

Prime factors of 72219 are 3, 7, 19, 181. Prime factorization of 72219 in exponential form is:

72219 = 3¹ × 7¹ × 19¹ × 181¹

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 72219

List of positive integer factors of 72219 that divides 72202 without a remainder.

1, 3, 7, 19, 21, 57, 133, 181, 399, 543, 1267, 3439, 3801, 10317, 24073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72202 and 72219. The biggest common factor number is the GCF number.
So the greatest common factor 72202 and 72219 is 1.

Also check out the Least Common Multiple of 72202 and 72219