What is the Greatest Common Factor of 53082 and 53090?

Greatest common factor (GCF) of 53082 and 53090 is 2.

GCF(53082,53090) = 2

We will now calculate the prime factors of 53082 and 53090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53082 and 53090.

How to find the GCF of 53082 and 53090?

We will first find the prime factorization of 53082 and 53090. After we will calculate the factors of 53082 and 53090 and find the biggest common factor number .

Step-1: Prime Factorization of 53082

Prime factors of 53082 are 2, 3, 983. Prime factorization of 53082 in exponential form is:

53082 = 2¹ × 3³ × 983¹

Step-2: Prime Factorization of 53090

Prime factors of 53090 are 2, 5, 5309. Prime factorization of 53090 in exponential form is:

53090 = 2¹ × 5¹ × 5309¹

Step-3: Factors of 53082

List of positive integer factors of 53082 that divides 53082 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 983, 1966, 2949, 5898, 8847, 17694, 26541

Step-4: Factors of 53090

List of positive integer factors of 53090 that divides 53082 without a remainder.

1, 2, 5, 10, 5309, 10618, 26545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53082 and 53090. The biggest common factor number is the GCF number.
So the greatest common factor 53082 and 53090 is 2.

Also check out the Least Common Multiple of 53082 and 53090