What is the Greatest Common Factor of 47498 and 47509?

Greatest common factor (GCF) of 47498 and 47509 is 11.

GCF(47498,47509) = 11

We will now calculate the prime factors of 47498 and 47509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47498 and 47509.

How to find the GCF of 47498 and 47509?

We will first find the prime factorization of 47498 and 47509. After we will calculate the factors of 47498 and 47509 and find the biggest common factor number .

Step-1: Prime Factorization of 47498

Prime factors of 47498 are 2, 11, 17, 127. Prime factorization of 47498 in exponential form is:

47498 = 2¹ × 11¹ × 17¹ × 127¹

Step-2: 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-3: Factors of 47498

List of positive integer factors of 47498 that divides 47498 without a remainder.

1, 2, 11, 17, 22, 34, 127, 187, 254, 374, 1397, 2159, 2794, 4318, 23749

Step-4: Factors of 47509

List of positive integer factors of 47509 that divides 47498 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47498 and 47509. The biggest common factor number is the GCF number.
So the greatest common factor 47498 and 47509 is 11.

Also check out the Least Common Multiple of 47498 and 47509