What is the Greatest Common Factor of 70080 and 70089?

Greatest common factor (GCF) of 70080 and 70089 is 3.

GCF(70080,70089) = 3

We will now calculate the prime factors of 70080 and 70089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70080 and 70089.

How to find the GCF of 70080 and 70089?

We will first find the prime factorization of 70080 and 70089. After we will calculate the factors of 70080 and 70089 and find the biggest common factor number .

Step-1: Prime Factorization of 70080

Prime factors of 70080 are 2, 3, 5, 73. Prime factorization of 70080 in exponential form is:

70080 = 2⁶ × 3¹ × 5¹ × 73¹

Step-2: Prime Factorization of 70089

Prime factors of 70089 are 3, 61, 383. Prime factorization of 70089 in exponential form is:

70089 = 3¹ × 61¹ × 383¹

Step-3: Factors of 70080

List of positive integer factors of 70080 that divides 70080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 73, 80, 96, 120, 146, 160, 192, 219, 240, 292, 320, 365, 438, 480, 584, 730, 876, 960, 1095, 1168, 1460, 1752, 2190, 2336, 2920, 3504, 4380, 4672, 5840, 7008, 8760, 11680, 14016, 17520, 23360, 35040

Step-4: Factors of 70089

List of positive integer factors of 70089 that divides 70080 without a remainder.

1, 3, 61, 183, 383, 1149, 23363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70080 and 70089. The biggest common factor number is the GCF number.
So the greatest common factor 70080 and 70089 is 3.

Also check out the Least Common Multiple of 70080 and 70089