What is the Greatest Common Factor of 47509 and 47523?

Greatest common factor (GCF) of 47509 and 47523 is 7.

GCF(47509,47523) = 7

We will now calculate the prime factors of 47509 and 47523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47509 and 47523.

How to find the GCF of 47509 and 47523?

We will first find the prime factorization of 47509 and 47523. After we will calculate the factors of 47509 and 47523 and find the biggest common factor number .

Step-1: Prime Factorization of 47509

Prime factors of 47509 are 7, 11, 617. Prime factorization of 47509 in exponential form is:

47509 = 7¹ × 11¹ × 617¹

Step-2: Prime Factorization of 47523

Prime factors of 47523 are 3, 7, 31, 73. Prime factorization of 47523 in exponential form is:

47523 = 3¹ × 7¹ × 31¹ × 73¹

Step-3: Factors of 47509

List of positive integer factors of 47509 that divides 47509 without a remainder.

1, 7, 11, 77, 617, 4319, 6787

Step-4: Factors of 47523

List of positive integer factors of 47523 that divides 47509 without a remainder.

1, 3, 7, 21, 31, 73, 93, 217, 219, 511, 651, 1533, 2263, 6789, 15841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47509 and 47523. The biggest common factor number is the GCF number.
So the greatest common factor 47509 and 47523 is 7.

Also check out the Least Common Multiple of 47509 and 47523