What is the Greatest Common Factor of 69479 and 69488?

Greatest common factor (GCF) of 69479 and 69488 is 1.

GCF(69479,69488) = 1

We will now calculate the prime factors of 69479 and 69488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69479 and 69488.

How to find the GCF of 69479 and 69488?

We will first find the prime factorization of 69479 and 69488. After we will calculate the factors of 69479 and 69488 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 69488

Prime factors of 69488 are 2, 43, 101. Prime factorization of 69488 in exponential form is:

69488 = 2⁴ × 43¹ × 101¹

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 69488

List of positive integer factors of 69488 that divides 69479 without a remainder.

1, 2, 4, 8, 16, 43, 86, 101, 172, 202, 344, 404, 688, 808, 1616, 4343, 8686, 17372, 34744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69479 and 69488. The biggest common factor number is the GCF number.
So the greatest common factor 69479 and 69488 is 1.

Also check out the Least Common Multiple of 69479 and 69488