What is the Greatest Common Factor of 69496 and 69511?

Greatest common factor (GCF) of 69496 and 69511 is 1.

GCF(69496,69511) = 1

We will now calculate the prime factors of 69496 and 69511, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69496 and 69511.

How to find the GCF of 69496 and 69511?

We will first find the prime factorization of 69496 and 69511. After we will calculate the factors of 69496 and 69511 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 69511

Prime factors of 69511 are 13, 5347. Prime factorization of 69511 in exponential form is:

69511 = 13¹ × 5347¹

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 69511

List of positive integer factors of 69511 that divides 69496 without a remainder.

1, 13, 5347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69496 and 69511. The biggest common factor number is the GCF number.
So the greatest common factor 69496 and 69511 is 1.

Also check out the Least Common Multiple of 69496 and 69511