What is the Greatest Common Factor of 69750 and 69755?

Greatest common factor (GCF) of 69750 and 69755 is 5.

GCF(69750,69755) = 5

We will now calculate the prime factors of 69750 and 69755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69750 and 69755.

How to find the GCF of 69750 and 69755?

We will first find the prime factorization of 69750 and 69755. After we will calculate the factors of 69750 and 69755 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69755

Prime factors of 69755 are 5, 7, 1993. Prime factorization of 69755 in exponential form is:

69755 = 5¹ × 7¹ × 1993¹

Step-3: Factors of 69750

List of positive integer factors of 69750 that divides 69750 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

Step-4: Factors of 69755

List of positive integer factors of 69755 that divides 69750 without a remainder.

1, 5, 7, 35, 1993, 9965, 13951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69750 and 69755. The biggest common factor number is the GCF number.
So the greatest common factor 69750 and 69755 is 5.

Also check out the Least Common Multiple of 69750 and 69755