What is the Greatest Common Factor of 49680 and 49691?

Greatest common factor (GCF) of 49680 and 49691 is 1.

GCF(49680,49691) = 1

We will now calculate the prime factors of 49680 and 49691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49680 and 49691.

How to find the GCF of 49680 and 49691?

We will first find the prime factorization of 49680 and 49691. After we will calculate the factors of 49680 and 49691 and find the biggest common factor number .

Step-1: Prime Factorization of 49680

Prime factors of 49680 are 2, 3, 5, 23. Prime factorization of 49680 in exponential form is:

49680 = 2⁴ × 3³ × 5¹ × 23¹

Step-2: Prime Factorization of 49691

Prime factors of 49691 are 17, 37, 79. Prime factorization of 49691 in exponential form is:

49691 = 17¹ × 37¹ × 79¹

Step-3: Factors of 49680

List of positive integer factors of 49680 that divides 49680 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 23, 24, 27, 30, 36, 40, 45, 46, 48, 54, 60, 69, 72, 80, 90, 92, 108, 115, 120, 135, 138, 144, 180, 184, 207, 216, 230, 240, 270, 276, 345, 360, 368, 414, 432, 460, 540, 552, 621, 690, 720, 828, 920, 1035, 1080, 1104, 1242, 1380, 1656, 1840, 2070, 2160, 2484, 2760, 3105, 3312, 4140, 4968, 5520, 6210, 8280, 9936, 12420, 16560, 24840

Step-4: Factors of 49691

List of positive integer factors of 49691 that divides 49680 without a remainder.

1, 17, 37, 79, 629, 1343, 2923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49680 and 49691. The biggest common factor number is the GCF number.
So the greatest common factor 49680 and 49691 is 1.

Also check out the Least Common Multiple of 49680 and 49691