What is the Greatest Common Factor of 82374 and 82390?

Greatest common factor (GCF) of 82374 and 82390 is 2.

GCF(82374,82390) = 2

We will now calculate the prime factors of 82374 and 82390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82374 and 82390.

How to find the GCF of 82374 and 82390?

We will first find the prime factorization of 82374 and 82390. After we will calculate the factors of 82374 and 82390 and find the biggest common factor number .

Step-1: Prime Factorization of 82374

Prime factors of 82374 are 2, 3, 13729. Prime factorization of 82374 in exponential form is:

82374 = 2¹ × 3¹ × 13729¹

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 82374

List of positive integer factors of 82374 that divides 82374 without a remainder.

1, 2, 3, 6, 13729, 27458, 41187

Step-4: Factors of 82390

List of positive integer factors of 82390 that divides 82374 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 82374 and 82390. The biggest common factor number is the GCF number.
So the greatest common factor 82374 and 82390 is 2.

Also check out the Least Common Multiple of 82374 and 82390