What is the Greatest Common Factor of 70965 and 70977?

Greatest common factor (GCF) of 70965 and 70977 is 3.

GCF(70965,70977) = 3

We will now calculate the prime factors of 70965 and 70977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70965 and 70977.

How to find the GCF of 70965 and 70977?

We will first find the prime factorization of 70965 and 70977. After we will calculate the factors of 70965 and 70977 and find the biggest common factor number .

Step-1: Prime Factorization of 70965

Prime factors of 70965 are 3, 5, 19, 83. Prime factorization of 70965 in exponential form is:

70965 = 3² × 5¹ × 19¹ × 83¹

Step-2: Prime Factorization of 70977

Prime factors of 70977 are 3, 59, 401. Prime factorization of 70977 in exponential form is:

70977 = 3¹ × 59¹ × 401¹

Step-3: Factors of 70965

List of positive integer factors of 70965 that divides 70965 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 83, 95, 171, 249, 285, 415, 747, 855, 1245, 1577, 3735, 4731, 7885, 14193, 23655

Step-4: Factors of 70977

List of positive integer factors of 70977 that divides 70965 without a remainder.

1, 3, 59, 177, 401, 1203, 23659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70965 and 70977. The biggest common factor number is the GCF number.
So the greatest common factor 70965 and 70977 is 3.

Also check out the Least Common Multiple of 70965 and 70977