What is the Greatest Common Factor of 61001 and 61008?

Greatest common factor (GCF) of 61001 and 61008 is 1.

GCF(61001,61008) = 1

We will now calculate the prime factors of 61001 and 61008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61001 and 61008.

How to find the GCF of 61001 and 61008?

We will first find the prime factorization of 61001 and 61008. After we will calculate the factors of 61001 and 61008 and find the biggest common factor number .

Step-1: Prime Factorization of 61001

Prime factors of 61001 are 61001. Prime factorization of 61001 in exponential form is:

61001 = 61001¹

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 61001

List of positive integer factors of 61001 that divides 61001 without a remainder.

Step-4: Factors of 61008

List of positive integer factors of 61008 that divides 61001 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 61001 and 61008. The biggest common factor number is the GCF number.
So the greatest common factor 61001 and 61008 is 1.

Also check out the Least Common Multiple of 61001 and 61008