What is the Greatest Common Factor of 53084 and 53090?

Greatest common factor (GCF) of 53084 and 53090 is 2.

GCF(53084,53090) = 2

We will now calculate the prime factors of 53084 and 53090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53084 and 53090.

How to find the GCF of 53084 and 53090?

We will first find the prime factorization of 53084 and 53090. After we will calculate the factors of 53084 and 53090 and find the biggest common factor number .

Step-1: Prime Factorization of 53084

Prime factors of 53084 are 2, 23, 577. Prime factorization of 53084 in exponential form is:

53084 = 2² × 23¹ × 577¹

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 53084

List of positive integer factors of 53084 that divides 53084 without a remainder.

1, 2, 4, 23, 46, 92, 577, 1154, 2308, 13271, 26542

Step-4: Factors of 53090

List of positive integer factors of 53090 that divides 53084 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53084 and 53090. The biggest common factor number is the GCF number.
So the greatest common factor 53084 and 53090 is 2.

Also check out the Least Common Multiple of 53084 and 53090