What is the Greatest Common Factor of 53465 and 53480?

Greatest common factor (GCF) of 53465 and 53480 is 5.

GCF(53465,53480) = 5

We will now calculate the prime factors of 53465 and 53480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53465 and 53480.

How to find the GCF of 53465 and 53480?

We will first find the prime factorization of 53465 and 53480. After we will calculate the factors of 53465 and 53480 and find the biggest common factor number .

Step-1: Prime Factorization of 53465

Prime factors of 53465 are 5, 17, 37. Prime factorization of 53465 in exponential form is:

53465 = 5¹ × 17² × 37¹

Step-2: 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-3: Factors of 53465

List of positive integer factors of 53465 that divides 53465 without a remainder.

1, 5, 17, 37, 85, 185, 289, 629, 1445, 3145, 10693

Step-4: Factors of 53480

List of positive integer factors of 53480 that divides 53465 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53465 and 53480. The biggest common factor number is the GCF number.
So the greatest common factor 53465 and 53480 is 5.

Also check out the Least Common Multiple of 53465 and 53480