What is the Greatest Common Factor of 69510 and 69530?

Greatest common factor (GCF) of 69510 and 69530 is 10.

GCF(69510,69530) = 10

We will now calculate the prime factors of 69510 and 69530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69510 and 69530.

How to find the GCF of 69510 and 69530?

We will first find the prime factorization of 69510 and 69530. After we will calculate the factors of 69510 and 69530 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69530

Prime factors of 69530 are 2, 5, 17, 409. Prime factorization of 69530 in exponential form is:

69530 = 2¹ × 5¹ × 17¹ × 409¹

Step-3: Factors of 69510

List of positive integer factors of 69510 that divides 69510 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

Step-4: Factors of 69530

List of positive integer factors of 69530 that divides 69510 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 409, 818, 2045, 4090, 6953, 13906, 34765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69510 and 69530. The biggest common factor number is the GCF number.
So the greatest common factor 69510 and 69530 is 10.

Also check out the Least Common Multiple of 69510 and 69530