What is the Greatest Common Factor of 69500 and 69510?

Greatest common factor (GCF) of 69500 and 69510 is 10.

GCF(69500,69510) = 10

We will now calculate the prime factors of 69500 and 69510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69500 and 69510.

How to find the GCF of 69500 and 69510?

We will first find the prime factorization of 69500 and 69510. After we will calculate the factors of 69500 and 69510 and find the biggest common factor number .

Step-1: Prime Factorization of 69500

Prime factors of 69500 are 2, 5, 139. Prime factorization of 69500 in exponential form is:

69500 = 2² × 5³ × 139¹

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 69500

List of positive integer factors of 69500 that divides 69500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 139, 250, 278, 500, 556, 695, 1390, 2780, 3475, 6950, 13900, 17375, 34750

Step-4: Factors of 69510

List of positive integer factors of 69510 that divides 69500 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 69500 and 69510. The biggest common factor number is the GCF number.
So the greatest common factor 69500 and 69510 is 10.

Also check out the Least Common Multiple of 69500 and 69510