What is the Greatest Common Factor of 47537 and 47551?

Greatest common factor (GCF) of 47537 and 47551 is 7.

GCF(47537,47551) = 7

We will now calculate the prime factors of 47537 and 47551, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47537 and 47551.

How to find the GCF of 47537 and 47551?

We will first find the prime factorization of 47537 and 47551. After we will calculate the factors of 47537 and 47551 and find the biggest common factor number .

Step-1: Prime Factorization of 47537

Prime factors of 47537 are 7, 6791. Prime factorization of 47537 in exponential form is:

47537 = 7¹ × 6791¹

Step-2: Prime Factorization of 47551

Prime factors of 47551 are 7, 6793. Prime factorization of 47551 in exponential form is:

47551 = 7¹ × 6793¹

Step-3: Factors of 47537

List of positive integer factors of 47537 that divides 47537 without a remainder.

1, 7, 6791

Step-4: Factors of 47551

List of positive integer factors of 47551 that divides 47537 without a remainder.

1, 7, 6793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47537 and 47551. The biggest common factor number is the GCF number.
So the greatest common factor 47537 and 47551 is 7.

Also check out the Least Common Multiple of 47537 and 47551