What is the Greatest Common Factor of 61000 and 61014?

Greatest common factor (GCF) of 61000 and 61014 is 2.

GCF(61000,61014) = 2

We will now calculate the prime factors of 61000 and 61014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61000 and 61014.

How to find the GCF of 61000 and 61014?

We will first find the prime factorization of 61000 and 61014. After we will calculate the factors of 61000 and 61014 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 61014

Prime factors of 61014 are 2, 3, 10169. Prime factorization of 61014 in exponential form is:

61014 = 2¹ × 3¹ × 10169¹

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 61014

List of positive integer factors of 61014 that divides 61000 without a remainder.

1, 2, 3, 6, 10169, 20338, 30507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61000 and 61014. The biggest common factor number is the GCF number.
So the greatest common factor 61000 and 61014 is 2.

Also check out the Least Common Multiple of 61000 and 61014