What is the Greatest Common Factor of 49760 and 49770?

Greatest common factor (GCF) of 49760 and 49770 is 10.

GCF(49760,49770) = 10

We will now calculate the prime factors of 49760 and 49770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49760 and 49770.

How to find the GCF of 49760 and 49770?

We will first find the prime factorization of 49760 and 49770. After we will calculate the factors of 49760 and 49770 and find the biggest common factor number .

Step-1: Prime Factorization of 49760

Prime factors of 49760 are 2, 5, 311. Prime factorization of 49760 in exponential form is:

49760 = 2⁵ × 5¹ × 311¹

Step-2: Prime Factorization of 49770

Prime factors of 49770 are 2, 3, 5, 7, 79. Prime factorization of 49770 in exponential form is:

49770 = 2¹ × 3² × 5¹ × 7¹ × 79¹

Step-3: Factors of 49760

List of positive integer factors of 49760 that divides 49760 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 311, 622, 1244, 1555, 2488, 3110, 4976, 6220, 9952, 12440, 24880

Step-4: Factors of 49770

List of positive integer factors of 49770 that divides 49760 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 79, 90, 105, 126, 158, 210, 237, 315, 395, 474, 553, 630, 711, 790, 1106, 1185, 1422, 1659, 2370, 2765, 3318, 3555, 4977, 5530, 7110, 8295, 9954, 16590, 24885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49760 and 49770. The biggest common factor number is the GCF number.
So the greatest common factor 49760 and 49770 is 10.

Also check out the Least Common Multiple of 49760 and 49770