What is the Greatest Common Factor of 70475 and 70488?

Greatest common factor (GCF) of 70475 and 70488 is 1.

GCF(70475,70488) = 1

We will now calculate the prime factors of 70475 and 70488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70475 and 70488.

How to find the GCF of 70475 and 70488?

We will first find the prime factorization of 70475 and 70488. After we will calculate the factors of 70475 and 70488 and find the biggest common factor number .

Step-1: Prime Factorization of 70475

Prime factors of 70475 are 5, 2819. Prime factorization of 70475 in exponential form is:

70475 = 5² × 2819¹

Step-2: 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-3: Factors of 70475

List of positive integer factors of 70475 that divides 70475 without a remainder.

1, 5, 25, 2819, 14095

Step-4: Factors of 70488

List of positive integer factors of 70488 that divides 70475 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70475 and 70488. The biggest common factor number is the GCF number.
So the greatest common factor 70475 and 70488 is 1.

Also check out the Least Common Multiple of 70475 and 70488