What is the Greatest Common Factor of 53720 and 53728?

Greatest common factor (GCF) of 53720 and 53728 is 8.

GCF(53720,53728) = 8

We will now calculate the prime factors of 53720 and 53728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53720 and 53728.

How to find the GCF of 53720 and 53728?

We will first find the prime factorization of 53720 and 53728. After we will calculate the factors of 53720 and 53728 and find the biggest common factor number .

Step-1: Prime Factorization of 53720

Prime factors of 53720 are 2, 5, 17, 79. Prime factorization of 53720 in exponential form is:

53720 = 2³ × 5¹ × 17¹ × 79¹

Step-2: Prime Factorization of 53728

Prime factors of 53728 are 2, 23, 73. Prime factorization of 53728 in exponential form is:

53728 = 2⁵ × 23¹ × 73¹

Step-3: Factors of 53720

List of positive integer factors of 53720 that divides 53720 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 79, 85, 136, 158, 170, 316, 340, 395, 632, 680, 790, 1343, 1580, 2686, 3160, 5372, 6715, 10744, 13430, 26860

Step-4: Factors of 53728

List of positive integer factors of 53728 that divides 53720 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 73, 92, 146, 184, 292, 368, 584, 736, 1168, 1679, 2336, 3358, 6716, 13432, 26864

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53720 and 53728. The biggest common factor number is the GCF number.
So the greatest common factor 53720 and 53728 is 8.

Also check out the Least Common Multiple of 53720 and 53728