What is the Greatest Common Factor of 49700 and 49705?

Greatest common factor (GCF) of 49700 and 49705 is 5.

GCF(49700,49705) = 5

We will now calculate the prime factors of 49700 and 49705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49700 and 49705.

How to find the GCF of 49700 and 49705?

We will first find the prime factorization of 49700 and 49705. After we will calculate the factors of 49700 and 49705 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 49705

Prime factors of 49705 are 5, 9941. Prime factorization of 49705 in exponential form is:

49705 = 5¹ × 9941¹

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 49705

List of positive integer factors of 49705 that divides 49700 without a remainder.

1, 5, 9941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49700 and 49705. The biggest common factor number is the GCF number.
So the greatest common factor 49700 and 49705 is 5.

Also check out the Least Common Multiple of 49700 and 49705