What is the Greatest Common Factor of 69496 and 69503?

Greatest common factor (GCF) of 69496 and 69503 is 7.

GCF(69496,69503) = 7

We will now calculate the prime factors of 69496 and 69503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69496 and 69503.

How to find the GCF of 69496 and 69503?

We will first find the prime factorization of 69496 and 69503. After we will calculate the factors of 69496 and 69503 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 69503

Prime factors of 69503 are 7, 9929. Prime factorization of 69503 in exponential form is:

69503 = 7¹ × 9929¹

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 69503

List of positive integer factors of 69503 that divides 69496 without a remainder.

1, 7, 9929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69496 and 69503. The biggest common factor number is the GCF number.
So the greatest common factor 69496 and 69503 is 7.

Also check out the Least Common Multiple of 69496 and 69503