What is the Greatest Common Factor of 49672 and 49680?

Greatest common factor (GCF) of 49672 and 49680 is 8.

GCF(49672,49680) = 8

We will now calculate the prime factors of 49672 and 49680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49672 and 49680.

How to find the GCF of 49672 and 49680?

We will first find the prime factorization of 49672 and 49680. After we will calculate the factors of 49672 and 49680 and find the biggest common factor number .

Step-1: Prime Factorization of 49672

Prime factors of 49672 are 2, 7, 887. Prime factorization of 49672 in exponential form is:

49672 = 2³ × 7¹ × 887¹

Step-2: 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-3: Factors of 49672

List of positive integer factors of 49672 that divides 49672 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 887, 1774, 3548, 6209, 7096, 12418, 24836

Step-4: Factors of 49680

List of positive integer factors of 49680 that divides 49672 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49672 and 49680. The biggest common factor number is the GCF number.
So the greatest common factor 49672 and 49680 is 8.

Also check out the Least Common Multiple of 49672 and 49680