What is the Greatest Common Factor of 82379 and 82390?

Greatest common factor (GCF) of 82379 and 82390 is 11.

GCF(82379,82390) = 11

We will now calculate the prime factors of 82379 and 82390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82379 and 82390.

How to find the GCF of 82379 and 82390?

We will first find the prime factorization of 82379 and 82390. After we will calculate the factors of 82379 and 82390 and find the biggest common factor number .

Step-1: Prime Factorization of 82379

Prime factors of 82379 are 11, 7489. Prime factorization of 82379 in exponential form is:

82379 = 11¹ × 7489¹

Step-2: Prime Factorization of 82390

Prime factors of 82390 are 2, 5, 7, 11, 107. Prime factorization of 82390 in exponential form is:

82390 = 2¹ × 5¹ × 7¹ × 11¹ × 107¹

Step-3: Factors of 82379

List of positive integer factors of 82379 that divides 82379 without a remainder.

1, 11, 7489

Step-4: Factors of 82390

List of positive integer factors of 82390 that divides 82379 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 107, 110, 154, 214, 385, 535, 749, 770, 1070, 1177, 1498, 2354, 3745, 5885, 7490, 8239, 11770, 16478, 41195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82379 and 82390. The biggest common factor number is the GCF number.
So the greatest common factor 82379 and 82390 is 11.

Also check out the Least Common Multiple of 82379 and 82390