What is the Greatest Common Factor of 69331 and 69350?

Greatest common factor (GCF) of 69331 and 69350 is 19.

GCF(69331,69350) = 19

We will now calculate the prime factors of 69331 and 69350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69331 and 69350.

How to find the GCF of 69331 and 69350?

We will first find the prime factorization of 69331 and 69350. After we will calculate the factors of 69331 and 69350 and find the biggest common factor number .

Step-1: Prime Factorization of 69331

Prime factors of 69331 are 19, 41, 89. Prime factorization of 69331 in exponential form is:

69331 = 19¹ × 41¹ × 89¹

Step-2: Prime Factorization of 69350

Prime factors of 69350 are 2, 5, 19, 73. Prime factorization of 69350 in exponential form is:

69350 = 2¹ × 5² × 19¹ × 73¹

Step-3: Factors of 69331

List of positive integer factors of 69331 that divides 69331 without a remainder.

1, 19, 41, 89, 779, 1691, 3649

Step-4: Factors of 69350

List of positive integer factors of 69350 that divides 69331 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 73, 95, 146, 190, 365, 475, 730, 950, 1387, 1825, 2774, 3650, 6935, 13870, 34675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69331 and 69350. The biggest common factor number is the GCF number.
So the greatest common factor 69331 and 69350 is 19.

Also check out the Least Common Multiple of 69331 and 69350