What is the Greatest Common Factor of 53480 and 53488?

Greatest common factor (GCF) of 53480 and 53488 is 8.

GCF(53480,53488) = 8

We will now calculate the prime factors of 53480 and 53488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53480 and 53488.

How to find the GCF of 53480 and 53488?

We will first find the prime factorization of 53480 and 53488. After we will calculate the factors of 53480 and 53488 and find the biggest common factor number .

Step-1: Prime Factorization of 53480

Prime factors of 53480 are 2, 5, 7, 191. Prime factorization of 53480 in exponential form is:

53480 = 2³ × 5¹ × 7¹ × 191¹

Step-2: Prime Factorization of 53488

Prime factors of 53488 are 2, 3343. Prime factorization of 53488 in exponential form is:

53488 = 2⁴ × 3343¹

Step-3: Factors of 53480

List of positive integer factors of 53480 that divides 53480 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 191, 280, 382, 764, 955, 1337, 1528, 1910, 2674, 3820, 5348, 6685, 7640, 10696, 13370, 26740

Step-4: Factors of 53488

List of positive integer factors of 53488 that divides 53480 without a remainder.

1, 2, 4, 8, 16, 3343, 6686, 13372, 26744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53480 and 53488. The biggest common factor number is the GCF number.
So the greatest common factor 53480 and 53488 is 8.

Also check out the Least Common Multiple of 53480 and 53488