What is the Greatest Common Factor of 49680 and 49694?

Greatest common factor (GCF) of 49680 and 49694 is 2.

GCF(49680,49694) = 2

We will now calculate the prime factors of 49680 and 49694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49680 and 49694.

How to find the GCF of 49680 and 49694?

We will first find the prime factorization of 49680 and 49694. After we will calculate the factors of 49680 and 49694 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 49694

Prime factors of 49694 are 2, 24847. Prime factorization of 49694 in exponential form is:

49694 = 2¹ × 24847¹

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 49694

List of positive integer factors of 49694 that divides 49680 without a remainder.

1, 2, 24847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49680 and 49694. The biggest common factor number is the GCF number.
So the greatest common factor 49680 and 49694 is 2.

Also check out the Least Common Multiple of 49680 and 49694