What is the Greatest Common Factor of 49700 and 49711?

Greatest common factor (GCF) of 49700 and 49711 is 1.

GCF(49700,49711) = 1

We will now calculate the prime factors of 49700 and 49711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49700 and 49711.

How to find the GCF of 49700 and 49711?

We will first find the prime factorization of 49700 and 49711. After we will calculate the factors of 49700 and 49711 and find the biggest common factor number .

Step-1: Prime Factorization of 49700

Prime factors of 49700 are 2, 5, 7, 71. Prime factorization of 49700 in exponential form is:

49700 = 2² × 5² × 7¹ × 71¹

Step-2: Prime Factorization of 49711

Prime factors of 49711 are 49711. Prime factorization of 49711 in exponential form is:

49711 = 49711¹

Step-3: Factors of 49700

List of positive integer factors of 49700 that divides 49700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 71, 100, 140, 142, 175, 284, 350, 355, 497, 700, 710, 994, 1420, 1775, 1988, 2485, 3550, 4970, 7100, 9940, 12425, 24850

Step-4: Factors of 49711

List of positive integer factors of 49711 that divides 49700 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49700 and 49711. The biggest common factor number is the GCF number.
So the greatest common factor 49700 and 49711 is 1.

Also check out the Least Common Multiple of 49700 and 49711