What is the Greatest Common Factor of 70946 and 70965?

Greatest common factor (GCF) of 70946 and 70965 is 19.

GCF(70946,70965) = 19

We will now calculate the prime factors of 70946 and 70965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70946 and 70965.

How to find the GCF of 70946 and 70965?

We will first find the prime factorization of 70946 and 70965. After we will calculate the factors of 70946 and 70965 and find the biggest common factor number .

Step-1: Prime Factorization of 70946

Prime factors of 70946 are 2, 19, 1867. Prime factorization of 70946 in exponential form is:

70946 = 2¹ × 19¹ × 1867¹

Step-2: 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-3: Factors of 70946

List of positive integer factors of 70946 that divides 70946 without a remainder.

1, 2, 19, 38, 1867, 3734, 35473

Step-4: Factors of 70965

List of positive integer factors of 70965 that divides 70946 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70946 and 70965. The biggest common factor number is the GCF number.
So the greatest common factor 70946 and 70965 is 19.

Also check out the Least Common Multiple of 70946 and 70965