What is the Greatest Common Factor of 49680 and 49695?

Greatest common factor (GCF) of 49680 and 49695 is 15.

GCF(49680,49695) = 15

We will now calculate the prime factors of 49680 and 49695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49680 and 49695.

How to find the GCF of 49680 and 49695?

We will first find the prime factorization of 49680 and 49695. After we will calculate the factors of 49680 and 49695 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 49695

Prime factors of 49695 are 3, 5, 3313. Prime factorization of 49695 in exponential form is:

49695 = 3¹ × 5¹ × 3313¹

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 49695

List of positive integer factors of 49695 that divides 49680 without a remainder.

1, 3, 5, 15, 3313, 9939, 16565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49680 and 49695. The biggest common factor number is the GCF number.
So the greatest common factor 49680 and 49695 is 15.

Also check out the Least Common Multiple of 49680 and 49695