What is the Greatest Common Factor of 82460 and 82474?

Greatest common factor (GCF) of 82460 and 82474 is 14.

GCF(82460,82474) = 14

We will now calculate the prime factors of 82460 and 82474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82460 and 82474.

How to find the GCF of 82460 and 82474?

We will first find the prime factorization of 82460 and 82474. After we will calculate the factors of 82460 and 82474 and find the biggest common factor number .

Step-1: Prime Factorization of 82460

Prime factors of 82460 are 2, 5, 7, 19, 31. Prime factorization of 82460 in exponential form is:

82460 = 2² × 5¹ × 7¹ × 19¹ × 31¹

Step-2: Prime Factorization of 82474

Prime factors of 82474 are 2, 7, 43, 137. Prime factorization of 82474 in exponential form is:

82474 = 2¹ × 7¹ × 43¹ × 137¹

Step-3: Factors of 82460

List of positive integer factors of 82460 that divides 82460 without a remainder.

1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 31, 35, 38, 62, 70, 76, 95, 124, 133, 140, 155, 190, 217, 266, 310, 380, 434, 532, 589, 620, 665, 868, 1085, 1178, 1330, 2170, 2356, 2660, 2945, 4123, 4340, 5890, 8246, 11780, 16492, 20615, 41230

Step-4: Factors of 82474

List of positive integer factors of 82474 that divides 82460 without a remainder.

1, 2, 7, 14, 43, 86, 137, 274, 301, 602, 959, 1918, 5891, 11782, 41237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82460 and 82474. The biggest common factor number is the GCF number.
So the greatest common factor 82460 and 82474 is 14.

Also check out the Least Common Multiple of 82460 and 82474