What is the Greatest Common Factor of 69570 and 69575?

Greatest common factor (GCF) of 69570 and 69575 is 5.

GCF(69570,69575) = 5

We will now calculate the prime factors of 69570 and 69575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69570 and 69575.

How to find the GCF of 69570 and 69575?

We will first find the prime factorization of 69570 and 69575. After we will calculate the factors of 69570 and 69575 and find the biggest common factor number .

Step-1: Prime Factorization of 69570

Prime factors of 69570 are 2, 3, 5, 773. Prime factorization of 69570 in exponential form is:

69570 = 2¹ × 3² × 5¹ × 773¹

Step-2: Prime Factorization of 69575

Prime factors of 69575 are 5, 11, 23. Prime factorization of 69575 in exponential form is:

69575 = 5² × 11² × 23¹

Step-3: Factors of 69570

List of positive integer factors of 69570 that divides 69570 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 773, 1546, 2319, 3865, 4638, 6957, 7730, 11595, 13914, 23190, 34785

Step-4: Factors of 69575

List of positive integer factors of 69575 that divides 69570 without a remainder.

1, 5, 11, 23, 25, 55, 115, 121, 253, 275, 575, 605, 1265, 2783, 3025, 6325, 13915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69570 and 69575. The biggest common factor number is the GCF number.
So the greatest common factor 69570 and 69575 is 5.

Also check out the Least Common Multiple of 69570 and 69575