What is the Greatest Common Factor of 47201 and 47207?

Greatest common factor (GCF) of 47201 and 47207 is 1.

GCF(47201,47207) = 1

We will now calculate the prime factors of 47201 and 47207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47201 and 47207.

How to find the GCF of 47201 and 47207?

We will first find the prime factorization of 47201 and 47207. After we will calculate the factors of 47201 and 47207 and find the biggest common factor number .

Step-1: Prime Factorization of 47201

Prime factors of 47201 are 7, 11, 613. Prime factorization of 47201 in exponential form is:

47201 = 7¹ × 11¹ × 613¹

Step-2: Prime Factorization of 47207

Prime factors of 47207 are 47207. Prime factorization of 47207 in exponential form is:

47207 = 47207¹

Step-3: Factors of 47201

List of positive integer factors of 47201 that divides 47201 without a remainder.

1, 7, 11, 77, 613, 4291, 6743

Step-4: Factors of 47207

List of positive integer factors of 47207 that divides 47201 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47201 and 47207. The biggest common factor number is the GCF number.
So the greatest common factor 47201 and 47207 is 1.

Also check out the Least Common Multiple of 47201 and 47207