What is the Greatest Common Factor of 69076 and 69090?

Greatest common factor (GCF) of 69076 and 69090 is 14.

GCF(69076,69090) = 14

We will now calculate the prime factors of 69076 and 69090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69076 and 69090.

How to find the GCF of 69076 and 69090?

We will first find the prime factorization of 69076 and 69090. After we will calculate the factors of 69076 and 69090 and find the biggest common factor number .

Step-1: Prime Factorization of 69076

Prime factors of 69076 are 2, 7, 2467. Prime factorization of 69076 in exponential form is:

69076 = 2² × 7¹ × 2467¹

Step-2: 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-3: Factors of 69076

List of positive integer factors of 69076 that divides 69076 without a remainder.

1, 2, 4, 7, 14, 28, 2467, 4934, 9868, 17269, 34538

Step-4: Factors of 69090

List of positive integer factors of 69090 that divides 69076 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69076 and 69090. The biggest common factor number is the GCF number.
So the greatest common factor 69076 and 69090 is 14.

Also check out the Least Common Multiple of 69076 and 69090