What is the Greatest Common Factor of 48902 and 48909?

Greatest common factor (GCF) of 48902 and 48909 is 7.

GCF(48902,48909) = 7

We will now calculate the prime factors of 48902 and 48909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48902 and 48909.

How to find the GCF of 48902 and 48909?

We will first find the prime factorization of 48902 and 48909. After we will calculate the factors of 48902 and 48909 and find the biggest common factor number .

Step-1: Prime Factorization of 48902

Prime factors of 48902 are 2, 7, 499. Prime factorization of 48902 in exponential form is:

48902 = 2¹ × 7² × 499¹

Step-2: Prime Factorization of 48909

Prime factors of 48909 are 3, 7, 17, 137. Prime factorization of 48909 in exponential form is:

48909 = 3¹ × 7¹ × 17¹ × 137¹

Step-3: Factors of 48902

List of positive integer factors of 48902 that divides 48902 without a remainder.

1, 2, 7, 14, 49, 98, 499, 998, 3493, 6986, 24451

Step-4: Factors of 48909

List of positive integer factors of 48909 that divides 48902 without a remainder.

1, 3, 7, 17, 21, 51, 119, 137, 357, 411, 959, 2329, 2877, 6987, 16303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48902 and 48909. The biggest common factor number is the GCF number.
So the greatest common factor 48902 and 48909 is 7.

Also check out the Least Common Multiple of 48902 and 48909