What is the Greatest Common Factor of 70755 and 70773?

Greatest common factor (GCF) of 70755 and 70773 is 3.

GCF(70755,70773) = 3

We will now calculate the prime factors of 70755 and 70773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70755 and 70773.

How to find the GCF of 70755 and 70773?

We will first find the prime factorization of 70755 and 70773. After we will calculate the factors of 70755 and 70773 and find the biggest common factor number .

Step-1: Prime Factorization of 70755

Prime factors of 70755 are 3, 5, 53, 89. Prime factorization of 70755 in exponential form is:

70755 = 3¹ × 5¹ × 53¹ × 89¹

Step-2: Prime Factorization of 70773

Prime factors of 70773 are 3, 31, 761. Prime factorization of 70773 in exponential form is:

70773 = 3¹ × 31¹ × 761¹

Step-3: Factors of 70755

List of positive integer factors of 70755 that divides 70755 without a remainder.

1, 3, 5, 15, 53, 89, 159, 265, 267, 445, 795, 1335, 4717, 14151, 23585

Step-4: Factors of 70773

List of positive integer factors of 70773 that divides 70755 without a remainder.

1, 3, 31, 93, 761, 2283, 23591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70755 and 70773. The biggest common factor number is the GCF number.
So the greatest common factor 70755 and 70773 is 3.

Also check out the Least Common Multiple of 70755 and 70773