What is the Greatest Common Factor of 69495 and 69510?

Greatest common factor (GCF) of 69495 and 69510 is 15.

GCF(69495,69510) = 15

We will now calculate the prime factors of 69495 and 69510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69495 and 69510.

How to find the GCF of 69495 and 69510?

We will first find the prime factorization of 69495 and 69510. After we will calculate the factors of 69495 and 69510 and find the biggest common factor number .

Step-1: Prime Factorization of 69495

Prime factors of 69495 are 3, 5, 41, 113. Prime factorization of 69495 in exponential form is:

69495 = 3¹ × 5¹ × 41¹ × 113¹

Step-2: Prime Factorization of 69510

Prime factors of 69510 are 2, 3, 5, 7, 331. Prime factorization of 69510 in exponential form is:

69510 = 2¹ × 3¹ × 5¹ × 7¹ × 331¹

Step-3: Factors of 69495

List of positive integer factors of 69495 that divides 69495 without a remainder.

1, 3, 5, 15, 41, 113, 123, 205, 339, 565, 615, 1695, 4633, 13899, 23165

Step-4: Factors of 69510

List of positive integer factors of 69510 that divides 69495 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 331, 662, 993, 1655, 1986, 2317, 3310, 4634, 4965, 6951, 9930, 11585, 13902, 23170, 34755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69495 and 69510. The biggest common factor number is the GCF number.
So the greatest common factor 69495 and 69510 is 15.

Also check out the Least Common Multiple of 69495 and 69510