What is the Greatest Common Factor of 53680 and 53688?

Greatest common factor (GCF) of 53680 and 53688 is 8.

GCF(53680,53688) = 8

We will now calculate the prime factors of 53680 and 53688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53680 and 53688.

How to find the GCF of 53680 and 53688?

We will first find the prime factorization of 53680 and 53688. After we will calculate the factors of 53680 and 53688 and find the biggest common factor number .

Step-1: Prime Factorization of 53680

Prime factors of 53680 are 2, 5, 11, 61. Prime factorization of 53680 in exponential form is:

53680 = 2⁴ × 5¹ × 11¹ × 61¹

Step-2: Prime Factorization of 53688

Prime factors of 53688 are 2, 3, 2237. Prime factorization of 53688 in exponential form is:

53688 = 2³ × 3¹ × 2237¹

Step-3: Factors of 53680

List of positive integer factors of 53680 that divides 53680 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 61, 80, 88, 110, 122, 176, 220, 244, 305, 440, 488, 610, 671, 880, 976, 1220, 1342, 2440, 2684, 3355, 4880, 5368, 6710, 10736, 13420, 26840

Step-4: Factors of 53688

List of positive integer factors of 53688 that divides 53680 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2237, 4474, 6711, 8948, 13422, 17896, 26844

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53680 and 53688. The biggest common factor number is the GCF number.
So the greatest common factor 53680 and 53688 is 8.

Also check out the Least Common Multiple of 53680 and 53688