What is the Greatest Common Factor of 61569 and 61580?

Greatest common factor (GCF) of 61569 and 61580 is 1.

GCF(61569,61580) = 1

We will now calculate the prime factors of 61569 and 61580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61569 and 61580.

How to find the GCF of 61569 and 61580?

We will first find the prime factorization of 61569 and 61580. After we will calculate the factors of 61569 and 61580 and find the biggest common factor number .

Step-1: Prime Factorization of 61569

Prime factors of 61569 are 3, 6841. Prime factorization of 61569 in exponential form is:

61569 = 3² × 6841¹

Step-2: Prime Factorization of 61580

Prime factors of 61580 are 2, 5, 3079. Prime factorization of 61580 in exponential form is:

61580 = 2² × 5¹ × 3079¹

Step-3: Factors of 61569

List of positive integer factors of 61569 that divides 61569 without a remainder.

1, 3, 9, 6841, 20523

Step-4: Factors of 61580

List of positive integer factors of 61580 that divides 61569 without a remainder.

1, 2, 4, 5, 10, 20, 3079, 6158, 12316, 15395, 30790

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61569 and 61580. The biggest common factor number is the GCF number.
So the greatest common factor 61569 and 61580 is 1.

Also check out the Least Common Multiple of 61569 and 61580