What is the Greatest Common Factor of 73190 and 73198?

Greatest common factor (GCF) of 73190 and 73198 is 2.

GCF(73190,73198) = 2

We will now calculate the prime factors of 73190 and 73198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73190 and 73198.

How to find the GCF of 73190 and 73198?

We will first find the prime factorization of 73190 and 73198. After we will calculate the factors of 73190 and 73198 and find the biggest common factor number .

Step-1: Prime Factorization of 73190

Prime factors of 73190 are 2, 5, 13, 563. Prime factorization of 73190 in exponential form is:

73190 = 2¹ × 5¹ × 13¹ × 563¹

Step-2: Prime Factorization of 73198

Prime factors of 73198 are 2, 36599. Prime factorization of 73198 in exponential form is:

73198 = 2¹ × 36599¹

Step-3: Factors of 73190

List of positive integer factors of 73190 that divides 73190 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 563, 1126, 2815, 5630, 7319, 14638, 36595

Step-4: Factors of 73198

List of positive integer factors of 73198 that divides 73190 without a remainder.

1, 2, 36599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73190 and 73198. The biggest common factor number is the GCF number.
So the greatest common factor 73190 and 73198 is 2.

Also check out the Least Common Multiple of 73190 and 73198