What is the Greatest Common Factor of 62580 and 62586?

Greatest common factor (GCF) of 62580 and 62586 is 6.

GCF(62580,62586) = 6

We will now calculate the prime factors of 62580 and 62586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62580 and 62586.

How to find the GCF of 62580 and 62586?

We will first find the prime factorization of 62580 and 62586. After we will calculate the factors of 62580 and 62586 and find the biggest common factor number .

Step-1: Prime Factorization of 62580

Prime factors of 62580 are 2, 3, 5, 7, 149. Prime factorization of 62580 in exponential form is:

62580 = 2² × 3¹ × 5¹ × 7¹ × 149¹

Step-2: Prime Factorization of 62586

Prime factors of 62586 are 2, 3, 19, 61. Prime factorization of 62586 in exponential form is:

62586 = 2¹ × 3³ × 19¹ × 61¹

Step-3: Factors of 62580

List of positive integer factors of 62580 that divides 62580 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 149, 210, 298, 420, 447, 596, 745, 894, 1043, 1490, 1788, 2086, 2235, 2980, 3129, 4172, 4470, 5215, 6258, 8940, 10430, 12516, 15645, 20860, 31290

Step-4: Factors of 62586

List of positive integer factors of 62586 that divides 62580 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 61, 114, 122, 171, 183, 342, 366, 513, 549, 1026, 1098, 1159, 1647, 2318, 3294, 3477, 6954, 10431, 20862, 31293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62580 and 62586. The biggest common factor number is the GCF number.
So the greatest common factor 62580 and 62586 is 6.

Also check out the Least Common Multiple of 62580 and 62586