What is the Greatest Common Factor of 62582 and 62590?

Greatest common factor (GCF) of 62582 and 62590 is 2.

GCF(62582,62590) = 2

We will now calculate the prime factors of 62582 and 62590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62582 and 62590.

How to find the GCF of 62582 and 62590?

We will first find the prime factorization of 62582 and 62590. After we will calculate the factors of 62582 and 62590 and find the biggest common factor number .

Step-1: Prime Factorization of 62582

Prime factors of 62582 are 2, 13, 29, 83. Prime factorization of 62582 in exponential form is:

62582 = 2¹ × 13¹ × 29¹ × 83¹

Step-2: Prime Factorization of 62590

Prime factors of 62590 are 2, 5, 11, 569. Prime factorization of 62590 in exponential form is:

62590 = 2¹ × 5¹ × 11¹ × 569¹

Step-3: Factors of 62582

List of positive integer factors of 62582 that divides 62582 without a remainder.

1, 2, 13, 26, 29, 58, 83, 166, 377, 754, 1079, 2158, 2407, 4814, 31291

Step-4: Factors of 62590

List of positive integer factors of 62590 that divides 62582 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 569, 1138, 2845, 5690, 6259, 12518, 31295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62582 and 62590. The biggest common factor number is the GCF number.
So the greatest common factor 62582 and 62590 is 2.

Also check out the Least Common Multiple of 62582 and 62590