What is the Greatest Common Factor of 61000 and 61020?

Greatest common factor (GCF) of 61000 and 61020 is 20.

GCF(61000,61020) = 20

We will now calculate the prime factors of 61000 and 61020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61000 and 61020.

How to find the GCF of 61000 and 61020?

We will first find the prime factorization of 61000 and 61020. After we will calculate the factors of 61000 and 61020 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 61020

Prime factors of 61020 are 2, 3, 5, 113. Prime factorization of 61020 in exponential form is:

61020 = 2² × 3³ × 5¹ × 113¹

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 61020

List of positive integer factors of 61020 that divides 61000 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 113, 135, 180, 226, 270, 339, 452, 540, 565, 678, 1017, 1130, 1356, 1695, 2034, 2260, 3051, 3390, 4068, 5085, 6102, 6780, 10170, 12204, 15255, 20340, 30510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61000 and 61020. The biggest common factor number is the GCF number.
So the greatest common factor 61000 and 61020 is 20.

Also check out the Least Common Multiple of 61000 and 61020