What is the Greatest Common Factor of 69545 and 69559?

Greatest common factor (GCF) of 69545 and 69559 is 7.

GCF(69545,69559) = 7

We will now calculate the prime factors of 69545 and 69559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69545 and 69559.

How to find the GCF of 69545 and 69559?

We will first find the prime factorization of 69545 and 69559. After we will calculate the factors of 69545 and 69559 and find the biggest common factor number .

Step-1: Prime Factorization of 69545

Prime factors of 69545 are 5, 7, 1987. Prime factorization of 69545 in exponential form is:

69545 = 5¹ × 7¹ × 1987¹

Step-2: Prime Factorization of 69559

Prime factors of 69559 are 7, 19, 523. Prime factorization of 69559 in exponential form is:

69559 = 7¹ × 19¹ × 523¹

Step-3: Factors of 69545

List of positive integer factors of 69545 that divides 69545 without a remainder.

1, 5, 7, 35, 1987, 9935, 13909

Step-4: Factors of 69559

List of positive integer factors of 69559 that divides 69545 without a remainder.

1, 7, 19, 133, 523, 3661, 9937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69545 and 69559. The biggest common factor number is the GCF number.
So the greatest common factor 69545 and 69559 is 7.

Also check out the Least Common Multiple of 69545 and 69559