What is the Greatest Common Factor of 76202 and 76217?

Greatest common factor (GCF) of 76202 and 76217 is 1.

GCF(76202,76217) = 1

We will now calculate the prime factors of 76202 and 76217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76202 and 76217.

How to find the GCF of 76202 and 76217?

We will first find the prime factorization of 76202 and 76217. After we will calculate the factors of 76202 and 76217 and find the biggest common factor number .

Step-1: Prime Factorization of 76202

Prime factors of 76202 are 2, 7, 5443. Prime factorization of 76202 in exponential form is:

76202 = 2¹ × 7¹ × 5443¹

Step-2: Prime Factorization of 76217

Prime factors of 76217 are 199, 383. Prime factorization of 76217 in exponential form is:

76217 = 199¹ × 383¹

Step-3: Factors of 76202

List of positive integer factors of 76202 that divides 76202 without a remainder.

1, 2, 7, 14, 5443, 10886, 38101

Step-4: Factors of 76217

List of positive integer factors of 76217 that divides 76202 without a remainder.

1, 199, 383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76202 and 76217. The biggest common factor number is the GCF number.
So the greatest common factor 76202 and 76217 is 1.

Also check out the Least Common Multiple of 76202 and 76217