What is the Greatest Common Factor of 80955 and 80970?

Greatest common factor (GCF) of 80955 and 80970 is 15.

GCF(80955,80970) = 15

We will now calculate the prime factors of 80955 and 80970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80955 and 80970.

How to find the GCF of 80955 and 80970?

We will first find the prime factorization of 80955 and 80970. After we will calculate the factors of 80955 and 80970 and find the biggest common factor number .

Step-1: Prime Factorization of 80955

Prime factors of 80955 are 3, 5, 7, 257. Prime factorization of 80955 in exponential form is:

80955 = 3² × 5¹ × 7¹ × 257¹

Step-2: Prime Factorization of 80970

Prime factors of 80970 are 2, 3, 5, 2699. Prime factorization of 80970 in exponential form is:

80970 = 2¹ × 3¹ × 5¹ × 2699¹

Step-3: Factors of 80955

List of positive integer factors of 80955 that divides 80955 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 257, 315, 771, 1285, 1799, 2313, 3855, 5397, 8995, 11565, 16191, 26985

Step-4: Factors of 80970

List of positive integer factors of 80970 that divides 80955 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2699, 5398, 8097, 13495, 16194, 26990, 40485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80955 and 80970. The biggest common factor number is the GCF number.
So the greatest common factor 80955 and 80970 is 15.

Also check out the Least Common Multiple of 80955 and 80970