What is the Greatest Common Factor of 61004 and 61020?

Greatest common factor (GCF) of 61004 and 61020 is 4.

GCF(61004,61020) = 4

We will now calculate the prime factors of 61004 and 61020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61004 and 61020.

How to find the GCF of 61004 and 61020?

We will first find the prime factorization of 61004 and 61020. After we will calculate the factors of 61004 and 61020 and find the biggest common factor number .

Step-1: Prime Factorization of 61004

Prime factors of 61004 are 2, 101, 151. Prime factorization of 61004 in exponential form is:

61004 = 2² × 101¹ × 151¹

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 61004

List of positive integer factors of 61004 that divides 61004 without a remainder.

1, 2, 4, 101, 151, 202, 302, 404, 604, 15251, 30502

Step-4: Factors of 61020

List of positive integer factors of 61020 that divides 61004 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 61004 and 61020. The biggest common factor number is the GCF number.
So the greatest common factor 61004 and 61020 is 4.

Also check out the Least Common Multiple of 61004 and 61020