What is the Greatest Common Factor of 47950 and 47957?

Greatest common factor (GCF) of 47950 and 47957 is 7.

GCF(47950,47957) = 7

We will now calculate the prime factors of 47950 and 47957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47950 and 47957.

How to find the GCF of 47950 and 47957?

We will first find the prime factorization of 47950 and 47957. After we will calculate the factors of 47950 and 47957 and find the biggest common factor number .

Step-1: Prime Factorization of 47950

Prime factors of 47950 are 2, 5, 7, 137. Prime factorization of 47950 in exponential form is:

47950 = 2¹ × 5² × 7¹ × 137¹

Step-2: Prime Factorization of 47957

Prime factors of 47957 are 7, 13, 17, 31. Prime factorization of 47957 in exponential form is:

47957 = 7¹ × 13¹ × 17¹ × 31¹

Step-3: Factors of 47950

List of positive integer factors of 47950 that divides 47950 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 137, 175, 274, 350, 685, 959, 1370, 1918, 3425, 4795, 6850, 9590, 23975

Step-4: Factors of 47957

List of positive integer factors of 47957 that divides 47950 without a remainder.

1, 7, 13, 17, 31, 91, 119, 217, 221, 403, 527, 1547, 2821, 3689, 6851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47950 and 47957. The biggest common factor number is the GCF number.
So the greatest common factor 47950 and 47957 is 7.

Also check out the Least Common Multiple of 47950 and 47957