What is the Greatest Common Factor of 69090 and 69102?

Greatest common factor (GCF) of 69090 and 69102 is 6.

GCF(69090,69102) = 6

We will now calculate the prime factors of 69090 and 69102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69090 and 69102.

How to find the GCF of 69090 and 69102?

We will first find the prime factorization of 69090 and 69102. After we will calculate the factors of 69090 and 69102 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 69102

Prime factors of 69102 are 2, 3, 11, 349. Prime factorization of 69102 in exponential form is:

69102 = 2¹ × 3² × 11¹ × 349¹

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 69102

List of positive integer factors of 69102 that divides 69090 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 349, 698, 1047, 2094, 3141, 3839, 6282, 7678, 11517, 23034, 34551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69090 and 69102. The biggest common factor number is the GCF number.
So the greatest common factor 69090 and 69102 is 6.

Also check out the Least Common Multiple of 69090 and 69102