What is the Greatest Common Factor of 49168 and 49175?

Greatest common factor (GCF) of 49168 and 49175 is 7.

GCF(49168,49175) = 7

We will now calculate the prime factors of 49168 and 49175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49168 and 49175.

How to find the GCF of 49168 and 49175?

We will first find the prime factorization of 49168 and 49175. After we will calculate the factors of 49168 and 49175 and find the biggest common factor number .

Step-1: Prime Factorization of 49168

Prime factors of 49168 are 2, 7, 439. Prime factorization of 49168 in exponential form is:

49168 = 2⁴ × 7¹ × 439¹

Step-2: Prime Factorization of 49175

Prime factors of 49175 are 5, 7, 281. Prime factorization of 49175 in exponential form is:

49175 = 5² × 7¹ × 281¹

Step-3: Factors of 49168

List of positive integer factors of 49168 that divides 49168 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 439, 878, 1756, 3073, 3512, 6146, 7024, 12292, 24584

Step-4: Factors of 49175

List of positive integer factors of 49175 that divides 49168 without a remainder.

1, 5, 7, 25, 35, 175, 281, 1405, 1967, 7025, 9835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49168 and 49175. The biggest common factor number is the GCF number.
So the greatest common factor 49168 and 49175 is 7.

Also check out the Least Common Multiple of 49168 and 49175