What is the Greatest Common Factor of 69825 and 69832?

Greatest common factor (GCF) of 69825 and 69832 is 7.

GCF(69825,69832) = 7

We will now calculate the prime factors of 69825 and 69832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69825 and 69832.

How to find the GCF of 69825 and 69832?

We will first find the prime factorization of 69825 and 69832. After we will calculate the factors of 69825 and 69832 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69832

Prime factors of 69832 are 2, 7, 29, 43. Prime factorization of 69832 in exponential form is:

69832 = 2³ × 7¹ × 29¹ × 43¹

Step-3: Factors of 69825

List of positive integer factors of 69825 that divides 69825 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

Step-4: Factors of 69832

List of positive integer factors of 69832 that divides 69825 without a remainder.

1, 2, 4, 7, 8, 14, 28, 29, 43, 56, 58, 86, 116, 172, 203, 232, 301, 344, 406, 602, 812, 1204, 1247, 1624, 2408, 2494, 4988, 8729, 9976, 17458, 34916

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69825 and 69832. The biggest common factor number is the GCF number.
So the greatest common factor 69825 and 69832 is 7.

Also check out the Least Common Multiple of 69825 and 69832