What is the Greatest Common Factor of 69734 and 69750?

Greatest common factor (GCF) of 69734 and 69750 is 2.

GCF(69734,69750) = 2

We will now calculate the prime factors of 69734 and 69750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69734 and 69750.

How to find the GCF of 69734 and 69750?

We will first find the prime factorization of 69734 and 69750. After we will calculate the factors of 69734 and 69750 and find the biggest common factor number .

Step-1: Prime Factorization of 69734

Prime factors of 69734 are 2, 7, 17, 293. Prime factorization of 69734 in exponential form is:

69734 = 2¹ × 7¹ × 17¹ × 293¹

Step-2: Prime Factorization of 69750

Prime factors of 69750 are 2, 3, 5, 31. Prime factorization of 69750 in exponential form is:

69750 = 2¹ × 3² × 5³ × 31¹

Step-3: Factors of 69734

List of positive integer factors of 69734 that divides 69734 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 293, 586, 2051, 4102, 4981, 9962, 34867

Step-4: Factors of 69750

List of positive integer factors of 69750 that divides 69734 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 31, 45, 50, 62, 75, 90, 93, 125, 150, 155, 186, 225, 250, 279, 310, 375, 450, 465, 558, 750, 775, 930, 1125, 1395, 1550, 2250, 2325, 2790, 3875, 4650, 6975, 7750, 11625, 13950, 23250, 34875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69734 and 69750. The biggest common factor number is the GCF number.
So the greatest common factor 69734 and 69750 is 2.

Also check out the Least Common Multiple of 69734 and 69750