What is the Greatest Common Factor of 47075 and 47080?

Greatest common factor (GCF) of 47075 and 47080 is 5.

GCF(47075,47080) = 5

We will now calculate the prime factors of 47075 and 47080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47075 and 47080.

How to find the GCF of 47075 and 47080?

We will first find the prime factorization of 47075 and 47080. After we will calculate the factors of 47075 and 47080 and find the biggest common factor number .

Step-1: Prime Factorization of 47075

Prime factors of 47075 are 5, 7, 269. Prime factorization of 47075 in exponential form is:

47075 = 5² × 7¹ × 269¹

Step-2: Prime Factorization of 47080

Prime factors of 47080 are 2, 5, 11, 107. Prime factorization of 47080 in exponential form is:

47080 = 2³ × 5¹ × 11¹ × 107¹

Step-3: Factors of 47075

List of positive integer factors of 47075 that divides 47075 without a remainder.

1, 5, 7, 25, 35, 175, 269, 1345, 1883, 6725, 9415

Step-4: Factors of 47080

List of positive integer factors of 47080 that divides 47075 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 107, 110, 214, 220, 428, 440, 535, 856, 1070, 1177, 2140, 2354, 4280, 4708, 5885, 9416, 11770, 23540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47075 and 47080. The biggest common factor number is the GCF number.
So the greatest common factor 47075 and 47080 is 5.

Also check out the Least Common Multiple of 47075 and 47080