What is the Greatest Common Factor of 69482 and 69496?

Greatest common factor (GCF) of 69482 and 69496 is 14.

GCF(69482,69496) = 14

We will now calculate the prime factors of 69482 and 69496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69482 and 69496.

How to find the GCF of 69482 and 69496?

We will first find the prime factorization of 69482 and 69496. After we will calculate the factors of 69482 and 69496 and find the biggest common factor number .

Step-1: Prime Factorization of 69482

Prime factors of 69482 are 2, 7, 709. Prime factorization of 69482 in exponential form is:

69482 = 2¹ × 7² × 709¹

Step-2: 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-3: Factors of 69482

List of positive integer factors of 69482 that divides 69482 without a remainder.

1, 2, 7, 14, 49, 98, 709, 1418, 4963, 9926, 34741

Step-4: Factors of 69496

List of positive integer factors of 69496 that divides 69482 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69482 and 69496. The biggest common factor number is the GCF number.
So the greatest common factor 69482 and 69496 is 14.

Also check out the Least Common Multiple of 69482 and 69496