What is the Greatest Common Factor of 69277 and 69290?

Greatest common factor (GCF) of 69277 and 69290 is 13.

GCF(69277,69290) = 13

We will now calculate the prime factors of 69277 and 69290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69277 and 69290.

How to find the GCF of 69277 and 69290?

We will first find the prime factorization of 69277 and 69290. After we will calculate the factors of 69277 and 69290 and find the biggest common factor number .

Step-1: Prime Factorization of 69277

Prime factors of 69277 are 13, 73. Prime factorization of 69277 in exponential form is:

69277 = 13¹ × 73²

Step-2: Prime Factorization of 69290

Prime factors of 69290 are 2, 5, 13, 41. Prime factorization of 69290 in exponential form is:

69290 = 2¹ × 5¹ × 13² × 41¹

Step-3: Factors of 69277

List of positive integer factors of 69277 that divides 69277 without a remainder.

1, 13, 73, 949, 5329

Step-4: Factors of 69290

List of positive integer factors of 69290 that divides 69277 without a remainder.

1, 2, 5, 10, 13, 26, 41, 65, 82, 130, 169, 205, 338, 410, 533, 845, 1066, 1690, 2665, 5330, 6929, 13858, 34645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69277 and 69290. The biggest common factor number is the GCF number.
So the greatest common factor 69277 and 69290 is 13.

Also check out the Least Common Multiple of 69277 and 69290