What is the Greatest Common Factor of 53480 and 53494?

Greatest common factor (GCF) of 53480 and 53494 is 14.

GCF(53480,53494) = 14

We will now calculate the prime factors of 53480 and 53494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53480 and 53494.

How to find the GCF of 53480 and 53494?

We will first find the prime factorization of 53480 and 53494. After we will calculate the factors of 53480 and 53494 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 53494

Prime factors of 53494 are 2, 7, 3821. Prime factorization of 53494 in exponential form is:

53494 = 2¹ × 7¹ × 3821¹

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 53494

List of positive integer factors of 53494 that divides 53480 without a remainder.

1, 2, 7, 14, 3821, 7642, 26747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53480 and 53494. The biggest common factor number is the GCF number.
So the greatest common factor 53480 and 53494 is 14.

Also check out the Least Common Multiple of 53480 and 53494