What is the Greatest Common Factor of 70080 and 70090?

Greatest common factor (GCF) of 70080 and 70090 is 10.

GCF(70080,70090) = 10

We will now calculate the prime factors of 70080 and 70090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70080 and 70090.

How to find the GCF of 70080 and 70090?

We will first find the prime factorization of 70080 and 70090. After we will calculate the factors of 70080 and 70090 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 70090

Prime factors of 70090 are 2, 5, 43, 163. Prime factorization of 70090 in exponential form is:

70090 = 2¹ × 5¹ × 43¹ × 163¹

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 70090

List of positive integer factors of 70090 that divides 70080 without a remainder.

1, 2, 5, 10, 43, 86, 163, 215, 326, 430, 815, 1630, 7009, 14018, 35045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70080 and 70090. The biggest common factor number is the GCF number.
So the greatest common factor 70080 and 70090 is 10.

Also check out the Least Common Multiple of 70080 and 70090