What is the Greatest Common Factor of 53080 and 53098?

Greatest common factor (GCF) of 53080 and 53098 is 2.

GCF(53080,53098) = 2

We will now calculate the prime factors of 53080 and 53098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53080 and 53098.

How to find the GCF of 53080 and 53098?

We will first find the prime factorization of 53080 and 53098. After we will calculate the factors of 53080 and 53098 and find the biggest common factor number .

Step-1: Prime Factorization of 53080

Prime factors of 53080 are 2, 5, 1327. Prime factorization of 53080 in exponential form is:

53080 = 2³ × 5¹ × 1327¹

Step-2: Prime Factorization of 53098

Prime factors of 53098 are 2, 139, 191. Prime factorization of 53098 in exponential form is:

53098 = 2¹ × 139¹ × 191¹

Step-3: Factors of 53080

List of positive integer factors of 53080 that divides 53080 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1327, 2654, 5308, 6635, 10616, 13270, 26540

Step-4: Factors of 53098

List of positive integer factors of 53098 that divides 53080 without a remainder.

1, 2, 139, 191, 278, 382, 26549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53080 and 53098. The biggest common factor number is the GCF number.
So the greatest common factor 53080 and 53098 is 2.

Also check out the Least Common Multiple of 53080 and 53098