What is the Greatest Common Factor of 61000 and 61008?

Greatest common factor (GCF) of 61000 and 61008 is 8.

GCF(61000,61008) = 8

We will now calculate the prime factors of 61000 and 61008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61000 and 61008.

How to find the GCF of 61000 and 61008?

We will first find the prime factorization of 61000 and 61008. After we will calculate the factors of 61000 and 61008 and find the biggest common factor number .

Step-1: Prime Factorization of 61000

Prime factors of 61000 are 2, 5, 61. Prime factorization of 61000 in exponential form is:

61000 = 2³ × 5³ × 61¹

Step-2: Prime Factorization of 61008

Prime factors of 61008 are 2, 3, 31, 41. Prime factorization of 61008 in exponential form is:

61008 = 2⁴ × 3¹ × 31¹ × 41¹

Step-3: Factors of 61000

List of positive integer factors of 61000 that divides 61000 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 61, 100, 122, 125, 200, 244, 250, 305, 488, 500, 610, 1000, 1220, 1525, 2440, 3050, 6100, 7625, 12200, 15250, 30500

Step-4: Factors of 61008

List of positive integer factors of 61008 that divides 61000 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 41, 48, 62, 82, 93, 123, 124, 164, 186, 246, 248, 328, 372, 492, 496, 656, 744, 984, 1271, 1488, 1968, 2542, 3813, 5084, 7626, 10168, 15252, 20336, 30504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61000 and 61008. The biggest common factor number is the GCF number.
So the greatest common factor 61000 and 61008 is 8.

Also check out the Least Common Multiple of 61000 and 61008