What is the Greatest Common Factor of 49040 and 49048?

Greatest common factor (GCF) of 49040 and 49048 is 8.

GCF(49040,49048) = 8

We will now calculate the prime factors of 49040 and 49048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49040 and 49048.

How to find the GCF of 49040 and 49048?

We will first find the prime factorization of 49040 and 49048. After we will calculate the factors of 49040 and 49048 and find the biggest common factor number .

Step-1: Prime Factorization of 49040

Prime factors of 49040 are 2, 5, 613. Prime factorization of 49040 in exponential form is:

49040 = 2⁴ × 5¹ × 613¹

Step-2: Prime Factorization of 49048

Prime factors of 49048 are 2, 6131. Prime factorization of 49048 in exponential form is:

49048 = 2³ × 6131¹

Step-3: Factors of 49040

List of positive integer factors of 49040 that divides 49040 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 613, 1226, 2452, 3065, 4904, 6130, 9808, 12260, 24520

Step-4: Factors of 49048

List of positive integer factors of 49048 that divides 49040 without a remainder.

1, 2, 4, 8, 6131, 12262, 24524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49040 and 49048. The biggest common factor number is the GCF number.
So the greatest common factor 49040 and 49048 is 8.

Also check out the Least Common Multiple of 49040 and 49048