What is the Greatest Common Factor of 62088 and 62100?

Greatest common factor (GCF) of 62088 and 62100 is 12.

GCF(62088,62100) = 12

We will now calculate the prime factors of 62088 and 62100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62088 and 62100.

How to find the GCF of 62088 and 62100?

We will first find the prime factorization of 62088 and 62100. After we will calculate the factors of 62088 and 62100 and find the biggest common factor number .

Step-1: Prime Factorization of 62088

Prime factors of 62088 are 2, 3, 13, 199. Prime factorization of 62088 in exponential form is:

62088 = 2³ × 3¹ × 13¹ × 199¹

Step-2: Prime Factorization of 62100

Prime factors of 62100 are 2, 3, 5, 23. Prime factorization of 62100 in exponential form is:

62100 = 2² × 3³ × 5² × 23¹

Step-3: Factors of 62088

List of positive integer factors of 62088 that divides 62088 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 199, 312, 398, 597, 796, 1194, 1592, 2388, 2587, 4776, 5174, 7761, 10348, 15522, 20696, 31044

Step-4: Factors of 62100

List of positive integer factors of 62100 that divides 62088 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 25, 27, 30, 36, 45, 46, 50, 54, 60, 69, 75, 90, 92, 100, 108, 115, 135, 138, 150, 180, 207, 225, 230, 270, 276, 300, 345, 414, 450, 460, 540, 575, 621, 675, 690, 828, 900, 1035, 1150, 1242, 1350, 1380, 1725, 2070, 2300, 2484, 2700, 3105, 3450, 4140, 5175, 6210, 6900, 10350, 12420, 15525, 20700, 31050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62088 and 62100. The biggest common factor number is the GCF number.
So the greatest common factor 62088 and 62100 is 12.

Also check out the Least Common Multiple of 62088 and 62100