What is the Greatest Common Factor of 69090 and 69097?

Greatest common factor (GCF) of 69090 and 69097 is 7.

GCF(69090,69097) = 7

We will now calculate the prime factors of 69090 and 69097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69090 and 69097.

How to find the GCF of 69090 and 69097?

We will first find the prime factorization of 69090 and 69097. After we will calculate the factors of 69090 and 69097 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 69097

Prime factors of 69097 are 7, 9871. Prime factorization of 69097 in exponential form is:

69097 = 7¹ × 9871¹

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 69097

List of positive integer factors of 69097 that divides 69090 without a remainder.

1, 7, 9871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69090 and 69097. The biggest common factor number is the GCF number.
So the greatest common factor 69090 and 69097 is 7.

Also check out the Least Common Multiple of 69090 and 69097