What is the Greatest Common Factor of 69496 and 69513?

Greatest common factor (GCF) of 69496 and 69513 is 17.

GCF(69496,69513) = 17

We will now calculate the prime factors of 69496 and 69513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69496 and 69513.

How to find the GCF of 69496 and 69513?

We will first find the prime factorization of 69496 and 69513. After we will calculate the factors of 69496 and 69513 and find the biggest common factor number .

Step-1: Prime Factorization of 69496

Prime factors of 69496 are 2, 7, 17, 73. Prime factorization of 69496 in exponential form is:

69496 = 2³ × 7¹ × 17¹ × 73¹

Step-2: Prime Factorization of 69513

Prime factors of 69513 are 3, 17, 29, 47. Prime factorization of 69513 in exponential form is:

69513 = 3¹ × 17¹ × 29¹ × 47¹

Step-3: Factors of 69496

List of positive integer factors of 69496 that divides 69496 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 73, 119, 136, 146, 238, 292, 476, 511, 584, 952, 1022, 1241, 2044, 2482, 4088, 4964, 8687, 9928, 17374, 34748

Step-4: Factors of 69513

List of positive integer factors of 69513 that divides 69496 without a remainder.

1, 3, 17, 29, 47, 51, 87, 141, 493, 799, 1363, 1479, 2397, 4089, 23171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69496 and 69513. The biggest common factor number is the GCF number.
So the greatest common factor 69496 and 69513 is 17.

Also check out the Least Common Multiple of 69496 and 69513