What is the Greatest Common Factor of 69850 and 69862?

Greatest common factor (GCF) of 69850 and 69862 is 2.

GCF(69850,69862) = 2

We will now calculate the prime factors of 69850 and 69862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69850 and 69862.

How to find the GCF of 69850 and 69862?

We will first find the prime factorization of 69850 and 69862. After we will calculate the factors of 69850 and 69862 and find the biggest common factor number .

Step-1: Prime Factorization of 69850

Prime factors of 69850 are 2, 5, 11, 127. Prime factorization of 69850 in exponential form is:

69850 = 2¹ × 5² × 11¹ × 127¹

Step-2: Prime Factorization of 69862

Prime factors of 69862 are 2, 13, 2687. Prime factorization of 69862 in exponential form is:

69862 = 2¹ × 13¹ × 2687¹

Step-3: Factors of 69850

List of positive integer factors of 69850 that divides 69850 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 127, 254, 275, 550, 635, 1270, 1397, 2794, 3175, 6350, 6985, 13970, 34925

Step-4: Factors of 69862

List of positive integer factors of 69862 that divides 69850 without a remainder.

1, 2, 13, 26, 2687, 5374, 34931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69850 and 69862. The biggest common factor number is the GCF number.
So the greatest common factor 69850 and 69862 is 2.

Also check out the Least Common Multiple of 69850 and 69862