What is the Greatest Common Factor of 70488 and 70499?

Greatest common factor (GCF) of 70488 and 70499 is 11.

GCF(70488,70499) = 11

We will now calculate the prime factors of 70488 and 70499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70488 and 70499.

How to find the GCF of 70488 and 70499?

We will first find the prime factorization of 70488 and 70499. After we will calculate the factors of 70488 and 70499 and find the biggest common factor number .

Step-1: Prime Factorization of 70488

Prime factors of 70488 are 2, 3, 11, 89. Prime factorization of 70488 in exponential form is:

70488 = 2³ × 3² × 11¹ × 89¹

Step-2: Prime Factorization of 70499

Prime factors of 70499 are 11, 13, 17, 29. Prime factorization of 70499 in exponential form is:

70499 = 11¹ × 13¹ × 17¹ × 29¹

Step-3: Factors of 70488

List of positive integer factors of 70488 that divides 70488 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 89, 99, 132, 178, 198, 264, 267, 356, 396, 534, 712, 792, 801, 979, 1068, 1602, 1958, 2136, 2937, 3204, 3916, 5874, 6408, 7832, 8811, 11748, 17622, 23496, 35244

Step-4: Factors of 70499

List of positive integer factors of 70499 that divides 70488 without a remainder.

1, 11, 13, 17, 29, 143, 187, 221, 319, 377, 493, 2431, 4147, 5423, 6409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70488 and 70499. The biggest common factor number is the GCF number.
So the greatest common factor 70488 and 70499 is 11.

Also check out the Least Common Multiple of 70488 and 70499