What is the Greatest Common Factor of 69090 and 69099?

Greatest common factor (GCF) of 69090 and 69099 is 3.

GCF(69090,69099) = 3

We will now calculate the prime factors of 69090 and 69099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69090 and 69099.

How to find the GCF of 69090 and 69099?

We will first find the prime factorization of 69090 and 69099. After we will calculate the factors of 69090 and 69099 and find the biggest common factor number .

Step-1: Prime Factorization of 69090

Prime factors of 69090 are 2, 3, 5, 7, 47. Prime factorization of 69090 in exponential form is:

69090 = 2¹ × 3¹ × 5¹ × 7² × 47¹

Step-2: Prime Factorization of 69099

Prime factors of 69099 are 3, 31, 743. Prime factorization of 69099 in exponential form is:

69099 = 3¹ × 31¹ × 743¹

Step-3: Factors of 69090

List of positive integer factors of 69090 that divides 69090 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 47, 49, 70, 94, 98, 105, 141, 147, 210, 235, 245, 282, 294, 329, 470, 490, 658, 705, 735, 987, 1410, 1470, 1645, 1974, 2303, 3290, 4606, 4935, 6909, 9870, 11515, 13818, 23030, 34545

Step-4: Factors of 69099

List of positive integer factors of 69099 that divides 69090 without a remainder.

1, 3, 31, 93, 743, 2229, 23033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69090 and 69099. The biggest common factor number is the GCF number.
So the greatest common factor 69090 and 69099 is 3.

Also check out the Least Common Multiple of 69090 and 69099