What is the Greatest Common Factor of 75560 and 75569?

Greatest common factor (GCF) of 75560 and 75569 is 1.

GCF(75560,75569) = 1

We will now calculate the prime factors of 75560 and 75569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75560 and 75569.

How to find the GCF of 75560 and 75569?

We will first find the prime factorization of 75560 and 75569. After we will calculate the factors of 75560 and 75569 and find the biggest common factor number .

Step-1: Prime Factorization of 75560

Prime factors of 75560 are 2, 5, 1889. Prime factorization of 75560 in exponential form is:

75560 = 2³ × 5¹ × 1889¹

Step-2: Prime Factorization of 75569

Prime factors of 75569 are 13, 5813. Prime factorization of 75569 in exponential form is:

75569 = 13¹ × 5813¹

Step-3: Factors of 75560

List of positive integer factors of 75560 that divides 75560 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1889, 3778, 7556, 9445, 15112, 18890, 37780

Step-4: Factors of 75569

List of positive integer factors of 75569 that divides 75560 without a remainder.

1, 13, 5813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75560 and 75569. The biggest common factor number is the GCF number.
So the greatest common factor 75560 and 75569 is 1.

Also check out the Least Common Multiple of 75560 and 75569