What is the Greatest Common Factor of 69479 and 69496?

Greatest common factor (GCF) of 69479 and 69496 is 17.

GCF(69479,69496) = 17

We will now calculate the prime factors of 69479 and 69496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69479 and 69496.

How to find the GCF of 69479 and 69496?

We will first find the prime factorization of 69479 and 69496. After we will calculate the factors of 69479 and 69496 and find the biggest common factor number .

Step-1: Prime Factorization of 69479

Prime factors of 69479 are 17, 61, 67. Prime factorization of 69479 in exponential form is:

69479 = 17¹ × 61¹ × 67¹

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 69479

List of positive integer factors of 69479 that divides 69479 without a remainder.

1, 17, 61, 67, 1037, 1139, 4087

Step-4: Factors of 69496

List of positive integer factors of 69496 that divides 69479 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 69479 and 69496. The biggest common factor number is the GCF number.
So the greatest common factor 69479 and 69496 is 17.

Also check out the Least Common Multiple of 69479 and 69496