What is the Greatest Common Factor of 69750 and 69766?

Greatest common factor (GCF) of 69750 and 69766 is 2.

GCF(69750,69766) = 2

We will now calculate the prime factors of 69750 and 69766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69750 and 69766.

How to find the GCF of 69750 and 69766?

We will first find the prime factorization of 69750 and 69766. After we will calculate the factors of 69750 and 69766 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 69766

Prime factors of 69766 are 2, 34883. Prime factorization of 69766 in exponential form is:

69766 = 2¹ × 34883¹

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 69766

List of positive integer factors of 69766 that divides 69750 without a remainder.

1, 2, 34883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69750 and 69766. The biggest common factor number is the GCF number.
So the greatest common factor 69750 and 69766 is 2.

Also check out the Least Common Multiple of 69750 and 69766