What is the Greatest Common Factor of 69805 and 69825?

Greatest common factor (GCF) of 69805 and 69825 is 5.

GCF(69805,69825) = 5

We will now calculate the prime factors of 69805 and 69825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69805 and 69825.

How to find the GCF of 69805 and 69825?

We will first find the prime factorization of 69805 and 69825. After we will calculate the factors of 69805 and 69825 and find the biggest common factor number .

Step-1: Prime Factorization of 69805

Prime factors of 69805 are 5, 23, 607. Prime factorization of 69805 in exponential form is:

69805 = 5¹ × 23¹ × 607¹

Step-2: Prime Factorization of 69825

Prime factors of 69825 are 3, 5, 7, 19. Prime factorization of 69825 in exponential form is:

69825 = 3¹ × 5² × 7² × 19¹

Step-3: Factors of 69805

List of positive integer factors of 69805 that divides 69805 without a remainder.

1, 5, 23, 115, 607, 3035, 13961

Step-4: Factors of 69825

List of positive integer factors of 69825 that divides 69805 without a remainder.

1, 3, 5, 7, 15, 19, 21, 25, 35, 49, 57, 75, 95, 105, 133, 147, 175, 245, 285, 399, 475, 525, 665, 735, 931, 1225, 1425, 1995, 2793, 3325, 3675, 4655, 9975, 13965, 23275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69805 and 69825. The biggest common factor number is the GCF number.
So the greatest common factor 69805 and 69825 is 5.

Also check out the Least Common Multiple of 69805 and 69825