What is the Greatest Common Factor of 47905 and 47925?

Greatest common factor (GCF) of 47905 and 47925 is 5.

GCF(47905,47925) = 5

We will now calculate the prime factors of 47905 and 47925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47905 and 47925.

How to find the GCF of 47905 and 47925?

We will first find the prime factorization of 47905 and 47925. After we will calculate the factors of 47905 and 47925 and find the biggest common factor number .

Step-1: Prime Factorization of 47905

Prime factors of 47905 are 5, 11, 13, 67. Prime factorization of 47905 in exponential form is:

47905 = 5¹ × 11¹ × 13¹ × 67¹

Step-2: Prime Factorization of 47925

Prime factors of 47925 are 3, 5, 71. Prime factorization of 47925 in exponential form is:

47925 = 3³ × 5² × 71¹

Step-3: Factors of 47905

List of positive integer factors of 47905 that divides 47905 without a remainder.

1, 5, 11, 13, 55, 65, 67, 143, 335, 715, 737, 871, 3685, 4355, 9581

Step-4: Factors of 47925

List of positive integer factors of 47925 that divides 47905 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 71, 75, 135, 213, 225, 355, 639, 675, 1065, 1775, 1917, 3195, 5325, 9585, 15975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47905 and 47925. The biggest common factor number is the GCF number.
So the greatest common factor 47905 and 47925 is 5.

Also check out the Least Common Multiple of 47905 and 47925